He played all or part of three seasons in Major League Baseball for the Boston Red Sox from 1943 to 1945.

A native of Waterbury, Connecticut, the right-hander was measured during his playing career at 6 ft 5 in (1.96 m) and 225 lbs.

He made his major league debut on June 20, 1943, starting game 2 of a doubleheader against the Philadelphia Athletics at Shibe Park.

His first big league win came on July 23, in relief, against the Chicago White Sox in game 1 of a Fenway Park doubleheader.

During his three-year career Woods completed 10 of 44 starts, had a 13–21 record, 25 games finished, 3 saves, and an ERA of 3.97.