The Hawks shot 51 percent from the field to end a two-game skid.
Millsap added nine rebounds to his 25 points and Korver hit six from beyond the 3-point arc among his 23 points. Al Horford tacked on 21 and nine rebounds.
Atlanta converted 12-of-23 attempts from 3-point range.
The contest was the opener of a seven-game road trip for the Clippers, who will be in Memphis Thursday. Los Angeles has dropped two straight.
Pot vending machine to debut
Pistorius testifies he didn't consciously pull trigger when he shot girlfriend