The 1976 Yankees took Tidrow to the postseason for the first time in his career. He appeared in three games of the 1976 American League Championship Series with the Kansas City Royals, winning the decisive game five. He also appeared in two games of the 1976 World Series against Cincinnati's "Big Red Machine." He pitched two innings of scoreless ball in game three; in game four, he surrendered a ninth-inning three-run home run to Johnny Bench that cemented the Reds' four-game sweep of the Series.