 The following season once again saw Bradley top the list of leading scorers, this time with 20 league goals whilst the 1971–1972 season saw his goal help Finn Harps secure their first major honour with a 1–0 victory over Cork Hibernians in the Dublin City Cup.In July 1972, Bradley moved to the Football League with Lincoln City manager David Herd paying £6,000 for his services.He made his league debut for the club in the 1–1 away draw with Darlington on 19 August 1972 His first goals for the club came in his third league game when he netted twice in the 3–0 away victory over Workington on 30 August 1972 and he then scored in the following four league fixtures.