Iverson finished with 34 points 18 in a dominating third quarter and seven in the extra period as the 76ers snapped a four-game road losing streak and beat the Grizzlies for the sixth straight time.
Harvey Grant blocked Abdur-Rahim's 10-foot shot to preserve Philadelphia's lead at 90-88 with 34 seconds remaining.
Iverson was fouled on the ensuing play and made one of two free throws.
Trailing 93-90, the Grizzlies' last chance to tie the game failed when Vancouver guard Mike Bibby missed a 3-point shot with three seconds remaining.
Philadelphia's Theo Ratliff finished with 16 points, eight rebounds and nine blocks.
Tony Massenburg and Bibby scored 20 points each to lead the Grizzlies, who have lost 16 of their last 17 games.
Iverson, who had just nine points in the first half, hit his first six shots of the third quarter and accounted for 14 of the 76ers' first 18 points of the period. His 18-point third quarter nearly outscored the Grizzlies, who managed 21 points and trailed 70-60 going into the final period.
Shareef Abdur-Rahim was 2-for-17 from the field, but sunk all 12 free-throw attempts and finished with 16 points.
Notes: The 76ers were minus forward Tyrone Hill (stiff neck) who's listed as day to day after suffering the injury along with a cut over his left eye requiring three stitches during a collision in the second quarter of Monday's 92-76 loss in Seattle. Acquired in an NBA trade-deadline four-player deal with the Milwaukee Bucks, Hill as averaged 8.2 points, 8.8 rebounds and 30.2 minutes of playing time in five games with Philadelphia. ... Iverson, the NBA's leading scorer, broke a personal record Wednesday by scoring in double digits in his 40th straight game. ... Vancouver's only win against Philadelphia came in the two team's first meeting on Jan. 5, 1996, when the host Grizzlies pulled out a 103-102 overtime victory.
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