Phoenix took a 73-69 lead into the final period but Memphis outscored the Suns 21-8 over the first 7 minutes of the fourth quarter for a 90-81 advantage. Like the rest of the game, the run was a balanced attack for the Grizzles, with five players contributing points.
Randolph was backed by Jerryd Bayless scoring 17 points and Ed Davis, who had 16 points and 11 rebounds, with both players coming off the bench. Three other Memphis players also reached double figures in scoring.
Goran Dragic connected on 13-of-22 shots en route to a career-high 33 points for Phoenix.