The Nuggets, who have spent an NBA-high 17 of 24 games on the road this season, improved to 12-12 on their return to Denver, while condemning the Grizzlies to a third consecutive loss.
Memphis (14-6) had a chance to tie the contest in the closing seconds but top scorer Rudy Gay's (21 points) three-point attempt failed to drop as the Grizzlies slipped two games behind San Antonio in the Southwest Division.
Andre Iguodala had a big night for the Nuggets with 20 points and seven assists, while benchman Andre Miller contributed 18 points.
The win was Denver's 29th home triumph over Memphis in 33 contests, continuing an impressive dominance in Colorado.
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