Ronning quickly became a key element on the rapidly improving Canucks. In 1992–93, he posted a career-high 29 goals and 85 points. On April 15, 1993, in a game against the Los Angeles Kings, he nearly tied Brian Trottier's record for most points in a single period, notching 3 goals and 2 assists in the third (Trottier had six). The following season, Ronning helped the Canucks on their run to the 1994 Stanley Cup Finals, which they lost in seven games to the New York Rangers. He played the seventh game with a broken hand.