Clifford Francis Brady (March 6, 1897 – September 25, 1974) was a second baseman in Major League Baseball who played for the Boston Red Sox in the 1920 season.

Following his major league career, Brady spent 14 seasons in the minors playing and managing.

He was a member of St. Louis Scullin Steel F.C., which won the 1922 National Challenge Cup defeating Todd Shipyard of Brooklyn, 3–2.

[1] In the fall of 1922, he suffered an ankle fracture and lost the entire season.

This biographical article relating to an American baseball second baseman is a stub.