On December 6, 1958, after 14 seasons with the Senators, Yost was traded to the Detroit Tigers, allowing the Senators to make room for young prospect Harmon Killebrew. Playing in hitter-friendly Tiger Stadium in 1959, his home run production climbed to a career-high of 21 and, he led the American League with 115 runs scored, 135 base on balls and a .435 on-base percentage. In 1960, he again led the league in base on balls and on-base percentage. Yost spent two seasons with the Tigers before being selected by the Los Angeles Angels in the 1961 American League expansion draft.