Evans was the Red Sox regular right fielder starting in 1973, a role he would have until 1987. In 1973 he batted .223 with 10 home runs and 32 RBIs, and in 1974 he batted .281 with 10 home runs and 70 RBIs. In 1975, the Red Sox won the AL East and then swept the Oakland Athletics in the 1975 ALCS. Evans batted 1-for-10 against Oakland, being held to a double in the first game. In the 1975 World Series against the Cincinnati Reds, Evans batted 7-for-24 (.292) with a home run and five RBIs. In the historic sixth game, with the score tied 6–6 in the 11th inning, Evans made a spectacular catch of a drive hit by Reds second baseman Joe Morgan; Evans then threw to first base to complete an inning-ending double play. Carlton Fisk hit his famous walk-off home run in the 12th inning to win the game for the Red Sox, 7–6, forcing a seventh game, which was won the next day by the Reds.