On November 16, 2018, Strome was traded by the Oilers to the New York Rangers in exchange for forward Ryan Spooner. At the time of the trade, he had tallied one goal and one assist through 18 games. Strome had found out about the trade as he was boarding the Oilers' plane for a road trip. Upon joining the team, he made an immediate impact as he quickly began accumulating points. As a result, Strome earned some time on the Rangers' top line in late November. By the end of December, Strome had registered three goals and five assists for eight points through 20 games as a member of the Rangers. After scoring his fourth goal of the season in early January, he tied for third on the Rangers in goals and fifth in points. In his 400th career NHL game on February 23, Strome also posted the fifth multi-goal game of his NHL career. At the time, he had also accumulated three goals and four assists in six of the Rangers' last seven games. By March 13, Strome ranked third on the team in goals with 12 and fifth on the team with 24 points. On March 23, he tallied his first career overtime goal to lift the Rangers to a win over the Toronto Maple Leafs. Although the Rangers were shortly thereafter eliminated from playoff contention, Strome helped them win consecutive games for the first time since January 17 by tallying a goal and an assist in a win over the Philadelphia Flyers on March 31. Strome finished the season with 18 goals and 15 assists for 33 points through 63 games with the Rangers. He subsequently became the first NHL player to tally 18 goals with his new team after being acquired during the 2018–19 season. Strome also became one of two Rangers who skated in all of the team's 63 games from the time he was acquired until the end of the season.
