Frank Thomas Smith (April 4, 1928 – September 24, 2005) was an American professional baseball player.

Born in Pierrepont Manor, New York, he was a right-handed pitcher over parts of seven seasons (1950–56) with the Cincinnati Reds (also called the Redlegs in 1953–56) and the St. Louis Cardinals.

During his career, he compiled a 35–33 record in 271 appearances, mostly as a relief pitcher, with a 3.81 earned run average, 277 strikeouts, and 44 saves.

Smith died at his Malone, Florida home on September 24, 2005.

This biographical article relating to an American baseball pitcher born in the 1920s is a stub.