One of the low points of Starks' career came in the 1994 NBA Finals against the Houston Rockets. In the closing seconds of Game 3 and the Knicks trailing by three, Starks was fouled by Rockets center Hakeem Olajuwon while attempting a three-pointer. At the time, the NBA allowed only two free throws during a foul on a three-pointer. Starks made both, but Houston won 93–89 (the league would change the rule to allow three free throws the next season). Starks and the Knicks then watched their home court host the New York Rangers' first Stanley Cup celebration in 54 years, with their 3–2 win over the Vancouver Canucks in Game 7 of the 1994 Stanley Cup Finals. It served as an inspiration for the Knicks to recover to take a 3–2 series lead going into Game 6. However, in the final seconds of Game 6, Olajuwon blocked Starks' last-second 3-point attempt to give Houston an 86–84 victory. In Game 7, Starks had one of the worst games of his career, shooting 2-for-18 from the field, including 1-for-10 in the fourth quarter. The Rockets went on to win the game and the championship.