In the 1980 season, Goring was traded in March to the New York Islanders in exchange for Billy Harris and Dave Lewis, and was widely regarded as being the "final piece of the puzzle". That season, he scored 19 points in 21 playoff games to help the Islanders to the first of four consecutive Stanley Cups. The next season (1980–81), he improved upon his previous playoff run, scoring 10 goals and 10 assists in 20 playoff games, and was awarded the Conn Smythe Trophy as the playoff most valuable player, as the Islanders won their second Cup. Goring played 78 games and did not receive a single penalty, but did not win the Lady Byng Trophy that year.