Fleury stopped Brad Richards and Vincent Lecavalier to start the shootout, but St. Louis skated down the slot and faked out Fleury by going to his backhand and then slipping the puck between the goalie's legs. Crosby had a chance to send the shootout to another round but, like Eric Christensen and Evgeni Malkin before him, couldn't get the puck past Johan Holmqvist.
Holmqvist has stopped all 10 skaters he has faced in shootouts this season.
Nick Tarnasky put Tampa Bay ahead 2-1 with about six minutes left in the third period by lifting a wrist shot from the high slot past Fleury, but Mark Recchi - who also set up Crosby's goal - tied it on a power-play goal set up by Crosby with 2½ minutes left in regulation.
Tampa Bay has won 10 in a row against Pittsburgh dating to 2003, including an overtime 4-3 decision in Mellon Arena on Lecavalier's goal on Nov. 8. The Lightning won this one despite failing to score on a power play in overtime.