Duncan, who had just eight points and seven rebounds through three quarters, fueled an 11-2 run in the fourth for the Spurs.
Duncan scored 13 and had four rebounds in the fourth, and added four points and a key steal in overtime to lead the Spurs to their eighth straight victory against the Rockets.
In the overtime, Duncan made his first shot, then converted two free throws with 35 seconds left to give San Antonio a 109-107 lead. He then made a key steal with 22 seconds to play. Terry Porter and Elie each hit a pair of free throws in the final 20 seconds to seal the victory.
San Antonio went ahead by 10 in the first quarter behind the shooting of Elie and David Robinson.
The Spurs hit five 3-pointers, including three by Elie, in the first quarter for a 29-25 lead.
The Rockts made four 3-pointers in the second to take the lead and went on an 18-2 run for a 43-31 lead with 7:20 to play in the half.
The Rockets ended the half hitting 6-of-10 3-pointers to take a 56-47 lead at the half.
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