diff --git a/sqlglot/expressions.py b/sqlglot/expressions.py
index 1a248750..b3c63460 100644
--- a/sqlglot/expressions.py
+++ b/sqlglot/expressions.py
@@ -1605,7 +1605,7 @@ class TitleColumnConstraint(ColumnConstraintKind):
 
 
 class UniqueColumnConstraint(ColumnConstraintKind):
-    arg_types = {"this": False, "index_type": False}
+    arg_types = {"this": False, "index_type": False, "on_conflict": False}
 
 
 class UppercaseColumnConstraint(ColumnConstraintKind):
@@ -1883,8 +1883,8 @@ class OnConflict(Expression):
     arg_types = {
         "duplicate": False,
         "expressions": False,
-        "nothing": False,
-        "key": False,
+        "action": False,
+        "conflict_keys": False,
         "constraint": False,
     }
 
diff --git a/sqlglot/generator.py b/sqlglot/generator.py
index e6f5c4b0..753d4391 100644
--- a/sqlglot/generator.py
+++ b/sqlglot/generator.py
@@ -869,7 +869,9 @@ class Generator(metaclass=_Generator):
         this = f" {this}" if this else ""
         index_type = expression.args.get("index_type")
         index_type = f" USING {index_type}" if index_type else ""
-        return f"UNIQUE{this}{index_type}"
+        on_conflict = self.sql(expression, "on_conflict")
+        on_conflict = f" {on_conflict}" if on_conflict else ""
+        return f"UNIQUE{this}{index_type}{on_conflict}"
 
     def createable_sql(self, expression: exp.Create, locations: t.DefaultDict) -> str:
         return self.sql(expression, "this")
@@ -1457,14 +1459,15 @@ class Generator(metaclass=_Generator):
         where = self.sql(expression, "where")
         where = f"{self.sep()}REPLACE WHERE {where}" if where else ""
         expression_sql = f"{self.sep()}{self.sql(expression, 'expression')}"
-        conflict = self.sql(expression, "conflict")
+        on_conflict = self.sql(expression, "conflict")
+        on_conflict = f" {on_conflict}" if on_conflict else ""
         by_name = " BY NAME" if expression.args.get("by_name") else ""
         returning = self.sql(expression, "returning")
 
         if self.RETURNING_END:
-            expression_sql = f"{expression_sql}{conflict}{returning}"
+            expression_sql = f"{expression_sql}{on_conflict}{returning}"
         else:
-            expression_sql = f"{returning}{expression_sql}{conflict}"
+            expression_sql = f"{returning}{expression_sql}{on_conflict}"
 
         sql = f"INSERT{alternative}{ignore}{this}{by_name}{exists}{partition_sql}{where}{expression_sql}"
         return self.prepend_ctes(expression, sql)
@@ -1496,17 +1499,20 @@ class Generator(metaclass=_Generator):
 
     def onconflict_sql(self, expression: exp.OnConflict) -> str:
         conflict = "ON DUPLICATE KEY" if expression.args.get("duplicate") else "ON CONFLICT"
+
         constraint = self.sql(expression, "constraint")
-        if constraint:
-            constraint = f"ON CONSTRAINT {constraint}"
-        key = self.expressions(expression, key="key", flat=True)
-        do = "" if expression.args.get("duplicate") else " DO "
-        nothing = "NOTHING" if expression.args.get("nothing") else ""
+        constraint = f" ON CONSTRAINT {constraint}" if constraint else ""
+
+        conflict_keys = self.expressions(expression, key="conflict_keys", flat=True)
+        conflict_keys = f"({conflict_keys}) " if conflict_keys else " "
+        action = self.sql(expression, "action")
+
         expressions = self.expressions(expression, flat=True)
-        set_keyword = "SET " if self.DUPLICATE_KEY_UPDATE_WITH_SET else ""
         if expressions:
-            expressions = f"UPDATE {set_keyword}{expressions}"
-        return f"{self.seg(conflict)} {constraint}{key}{do}{nothing}{expressions}"
+            set_keyword = "SET " if self.DUPLICATE_KEY_UPDATE_WITH_SET else ""
+            expressions = f" {set_keyword}{expressions}"
+
+        return f"{conflict}{constraint}{conflict_keys}{action}{expressions}"
 
     def returning_sql(self, expression: exp.Returning) -> str:
         return f"{self.seg('RETURNING')} {self.expressions(expression, flat=True)}"
diff --git a/sqlglot/parser.py b/sqlglot/parser.py
index 49dac2ea..ad2907b8 100644
--- a/sqlglot/parser.py
+++ b/sqlglot/parser.py
@@ -966,6 +966,11 @@ class Parser(metaclass=_Parser):
         "READ": ("WRITE", "ONLY"),
     }
 
+    CONFLICT_ACTIONS: OPTIONS_TYPE = dict.fromkeys(
+        ("ABORT", "FAIL", "IGNORE", "REPLACE", "ROLLBACK", "UPDATE"), tuple()
+    )
+    CONFLICT_ACTIONS["DO"] = ("NOTHING", "UPDATE")
+
     USABLES: OPTIONS_TYPE = dict.fromkeys(("ROLE", "WAREHOUSE", "DATABASE", "SCHEMA"), tuple())
 
     INSERT_ALTERNATIVES = {"ABORT", "FAIL", "IGNORE", "REPLACE", "ROLLBACK"}
@@ -2112,31 +2117,31 @@ class Parser(metaclass=_Parser):
         if not conflict and not duplicate:
             return None
 
-        nothing = None
-        expressions = None
-        key = None
+        conflict_keys = None
         constraint = None
 
         if conflict:
             if self._match_text_seq("ON", "CONSTRAINT"):
                 constraint = self._parse_id_var()
-            else:
-                key = self._parse_csv(self._parse_value)
+            elif self._match(TokenType.L_PAREN):
+                conflict_keys = self._parse_csv(self._parse_id_var)
+                self._match_r_paren()
 
-        self._match_text_seq("DO")
-        if self._match_text_seq("NOTHING"):
-            nothing = True
-        else:
-            self._match(TokenType.UPDATE)
+        action = self._parse_var_from_options(
+            self.CONFLICT_ACTIONS,
+        )
+        if self._prev.token_type == TokenType.UPDATE:
             self._match(TokenType.SET)
             expressions = self._parse_csv(self._parse_equality)
+        else:
+            expressions = None
 
         return self.expression(
             exp.OnConflict,
             duplicate=duplicate,
             expressions=expressions,
-            nothing=nothing,
-            key=key,
+            action=action,
+            conflict_keys=conflict_keys,
             constraint=constraint,
         )
 
@@ -4417,9 +4422,7 @@ class Parser(metaclass=_Parser):
         self._match_text_seq("LENGTH")
         return self.expression(exp.InlineLengthColumnConstraint, this=self._parse_bitwise())
 
-    def _parse_not_constraint(
-        self,
-    ) -> t.Optional[exp.Expression]:
+    def _parse_not_constraint(self) -> t.Optional[exp.Expression]:
         if self._match_text_seq("NULL"):
             return self.expression(exp.NotNullColumnConstraint)
         if self._match_text_seq("CASESPECIFIC"):
@@ -4447,16 +4450,21 @@ class Parser(metaclass=_Parser):
         if not self._match(TokenType.CONSTRAINT):
             return self._parse_unnamed_constraint(constraints=self.SCHEMA_UNNAMED_CONSTRAINTS)
 
-        this = self._parse_id_var()
-        expressions = []
+        return self.expression(
+            exp.Constraint,
+            this=self._parse_id_var(),
+            expressions=self._parse_unnamed_constraints(),
+        )
 
+    def _parse_unnamed_constraints(self) -> t.List[exp.Expression]:
+        constraints = []
         while True:
             constraint = self._parse_unnamed_constraint() or self._parse_function()
             if not constraint:
                 break
-            expressions.append(constraint)
+            constraints.append(constraint)
 
-        return self.expression(exp.Constraint, this=this, expressions=expressions)
+        return constraints
 
     def _parse_unnamed_constraint(
         self, constraints: t.Optional[t.Collection[str]] = None
@@ -4478,6 +4486,7 @@ class Parser(metaclass=_Parser):
             exp.UniqueColumnConstraint,
             this=self._parse_schema(self._parse_id_var(any_token=False)),
             index_type=self._match(TokenType.USING) and self._advance_any() and self._prev.text,
+            on_conflict=self._parse_on_conflict(),
         )
 
     def _parse_key_constraint_options(self) -> t.List[str]:

diff --git a/tests/dialects/test_postgres.py b/tests/dialects/test_postgres.py
index 1d0ea8bd..fe4e3533 100644
--- a/tests/dialects/test_postgres.py
+++ b/tests/dialects/test_postgres.py
@@ -691,13 +691,13 @@ class TestPostgres(Validator):
             "CREATE INDEX index_issues_on_title_trigram ON public.issues USING gin(title public.gin_trgm_ops)"
         )
         self.validate_identity(
-            "INSERT INTO x VALUES (1, 'a', 2.0) ON CONFLICT (id) DO NOTHING RETURNING *"
+            "INSERT INTO x VALUES (1, 'a', 2.0) ON CONFLICT(id) DO NOTHING RETURNING *"
         )
         self.validate_identity(
-            "INSERT INTO x VALUES (1, 'a', 2.0) ON CONFLICT (id) DO UPDATE SET x.id = 1 RETURNING *"
+            "INSERT INTO x VALUES (1, 'a', 2.0) ON CONFLICT(id) DO UPDATE SET x.id = 1 RETURNING *"
         )
         self.validate_identity(
-            "INSERT INTO x VALUES (1, 'a', 2.0) ON CONFLICT (id) DO UPDATE SET x.id = excluded.id RETURNING *"
+            "INSERT INTO x VALUES (1, 'a', 2.0) ON CONFLICT(id) DO UPDATE SET x.id = excluded.id RETURNING *"
         )
         self.validate_identity(
             "INSERT INTO x VALUES (1, 'a', 2.0) ON CONFLICT ON CONSTRAINT pkey DO NOTHING RETURNING *"
diff --git a/tests/dialects/test_sqlite.py b/tests/dialects/test_sqlite.py
index 2421987b..e935c194 100644
--- a/tests/dialects/test_sqlite.py
+++ b/tests/dialects/test_sqlite.py
@@ -7,6 +7,10 @@ class TestSQLite(Validator):
     dialect = "sqlite"
 
     def test_ddl(self):
+        for conflict_action in ("ABORT", "FAIL", "IGNORE", "REPLACE", "ROLLBACK"):
+            with self.subTest(f"ON CONFLICT {conflict_action}"):
+                self.validate_identity("CREATE TABLE a (b, c, UNIQUE (b, c) ON CONFLICT IGNORE)")
+
         self.validate_identity("INSERT OR ABORT INTO foo (x, y) VALUES (1, 2)")
         self.validate_identity("INSERT OR FAIL INTO foo (x, y) VALUES (1, 2)")
         self.validate_identity("INSERT OR IGNORE INTO foo (x, y) VALUES (1, 2)")

SQLite ParseError: Unique Table Constraint- cannot parse On Conflict Clause
sqlglot Verison is 22.2.0

#### MVE
```python
import sqlglot

inputstring = """CREATE TABLE a (
    b,
    c,
    UNIQUE (b, c) ON CONFLICT IGNORE
);"""

print(sqlglot.parse(inputstring, dialect='sqlite'))
```

#### Raises
```
sqlglot.errors.ParseError: Expecting ). Line 4, Col: 20.
  CREATE TABLE a (
        b,
    c,
    UNIQUE (b, c) ON CONFLICT IGNORE
    );
```
(**ON** is underlined in terminal)

#### Official Docs
[SQLite Create Table Docs](https://www.sqlite.org/lang_createtable.html)

Tested at on the [official fiddle](https://sqlite.org/fiddle/) to make sure SQL was a valid statement using
```sqlite
CREATE TABLE a (
    b,
    c,
    UNIQUE (b, c) ON CONFLICT IGNORE
);

INSERT INTO a(b,c) VALUES (1,1), (2,1), (1,1);

SELECT * FROM a;
```

Output is two rows as expected: (1,1), (2,1)

tests/dialects/test_postgres.py::TestPostgres::test_ddl tests/dialects/test_sqlite.py::TestSQLite::test_ddl
tests/dialects/test_postgres.py::TestPostgres::test_array_offset tests/dialects/test_postgres.py::TestPostgres::test_bool_or tests/dialects/test_postgres.py::TestPostgres::test_operator tests/dialects/test_postgres.py::TestPostgres::test_postgres tests/dialects/test_postgres.py::TestPostgres::test_regexp_binary tests/dialects/test_postgres.py::TestPostgres::test_string_concat tests/dialects/test_postgres.py::TestPostgres::test_unnest tests/dialects/test_postgres.py::TestPostgres::test_unnest_json_array tests/dialects/test_postgres.py::TestPostgres::test_variance tests/dialects/test_sqlite.py::TestSQLite::test_datediff tests/dialects/test_sqlite.py::TestSQLite::test_hexadecimal_literal tests/dialects/test_sqlite.py::TestSQLite::test_longvarchar_dtype tests/dialects/test_sqlite.py::TestSQLite::test_sqlite tests/dialects/test_sqlite.py::TestSQLite::test_warnings tests/dialects/test_sqlite.py::TestSQLite::test_window_null_treatment