Marc-Andre Fleury stopped all three shots in the shootout, preserving the win by holding off Dallas' Sergei Zubov, Jussi Jokinen and Mike Ribeiro. Fleury finished with 32 saves to help Pittsburgh improve to 2-5 in shootouts and drop Dallas to 5-2.
Mark Recchi scored two goals for the Penguins, including the 500th of his career that tied the score at three with 8:01 left. He has five goals in his last two games. Crosby had assists on both of Recchi's goals.
The 19-year-old superstar was originally credited with a goal that gave the Penguins a 2-1 lead at 12:08 of the second. However, the official scorers later ruled that Recchi deflected Crosby's wrister into the net.
Crosby was playing his first regular-season game in Dallas, two nights after not scoring in the All-Star Game on the Stars' home ice.
Patrick Stefan's goal gave Dallas a 3-2 lead midway through the third. Zubov and Jokinen also had goals for the Stars.