 The school was built in the 1960s to accommodate the increased student census caused by the baby-boom after World War II.It was named in honor of the 27th Governor of the Colony of Connecticut, Jonathan Law (August 6, 1674 – November 6, 1750).Until the 1970s, the Milford Public School System continued to include two public high schools, Milford High School in the central part of the city and Jonathan Law High School on the west end of the city, but shortly after the opening of a third, Joseph A. Foran High School on the east end of the city, Milford High School was closed and converted to accommodate municipal administrative offices due to the city's diminishing student census.