On May 4, Torres hit his first career home run off Josh Tomlin. At 21 years old, Torres was the youngest Yankee to homer since John Ellis in 1969.^[30]

On May 6, 2018, against the Cleveland Indians, Torres hit his first career walk-off home run off of relief pitcher Dan Otero, giving the Yankees a 7–4 victory.^[31][32] On May 21, 2018, against the Texas Rangers, Torres recorded his first multi-homer game when he hit two home runs as the Yankees won 10–5.^[33] On May 25 against the Los Angeles Angels, Torres hit a home run in his fourth straight game; at 21 years and 163 days old, Torres is the youngest player in American League history to accomplish that feat.^[34][34] Torres was named AL Player of the Week for the week ending on May 27, when he hit .368/.429/1.158 with five home runs and nine RBIs.^[35] On May 29, Torres hit a walk-off single to beat the Houston Astros in extra innings.^[36] Torres was also named American League Rookie of the Month for May. He posted a slash line of .317/.374/.659 scoring 13 runs, 26 hits, nine home runs and 24 RBIs