Matee Ajavon scored 19 points and the Washington Mystics held on for a 64-61 win over Tulsa in a battle between the teams with the worst records last season.
Saturday night's game at Verizon Center came down right to the final buzzer between clubs that combined to go 9-59 during the 2011 season.
Monique Currie had 15 points and Crystal Langhorne ended with 14 points and 10 rebounds for Washington, which won despite committing 32 turnovers.
Ivory Latta had 16 points to lead the Shock, who are winless after three games this year. Tulsa lost despite holding the Mystics to eight fourth-quarter points.
Glory Johnson made a layup to get Tulsa within 63-61 with 1:23 left. Riquna Williams, who finished 1-for-7 on the night from the field, missed a potential tying jumper with 38.9 seconds left.
Both teams then traded turnovers. Ajavon missed a jumper, but Langhorne got the offensive board and made 1-of-2 at the foul line with 4.1 seconds left.
Williams drained what would have been the tying three-point shot after the final buzzer sounded.