Marc Gasol had 14 points and 11 rebounds before fouling out with 3:05 left. Memphis won its opener for the second straight year, a first in franchise history.
Anthony Davis had 33 points and 18 rebounds and DeMarcus Cousins had 28 points and 10 boards for New Orleans, but the frontcourt pair got little help. The Pelicans shot 38 percent, including 7 of 25 from 3-point range.
Memphis, which carried a 79-70 lead into the fourth, stretched the margin to 13 in the early stages of the final period.
Davis and Cousins helped the Pelicans build an early lead, but Memphis countered with nine straight points to open the second quarter and the game settled into a close one. The Grizzlies held a 54-52 lead at halftime.
Memphis made it 77-65 in the latter stages of the third and cruised from there.