Los Angeles had only a seven-point lead heading into the fourth quarter, but dominated that period with Griffin contributing a sensational dunk in the process.
Griffin scored 23 points, grabbed 11 rebounds and dealt out 11 assists. Matt Barnes added 20 points while making six 3-pointers and Jamal Crawford contributed 25 points. The Clippers shot 54 percent from the field.
Los Angeles won for the ninth time in 11 games and bounced back from a home loss to Oklahoma City.
Milwaukee, which had won four in a row, was led by Monta Ellis with 22 points. All but four of his points came in the first half.