Bellinger hit a single in the first inning, a two-run home run in the third and an RBI double in the fourth before tripling to deep right-center in the seventh. The triple, which was his first since May 2, barely cleared the glove of right fielder Giancarlo Stanton, who tried to making a running, backhanded catch.
Bellinger grounded out in the ninth to finish 4-for-5 at the plate. The Dodgers won 7-1.
Bellinger, who is tied for the NL lead with 26 home runs, said the cycle was his first at any level. He's the ninth player in the Dodgers' 128-year history to hit for the cycle, and the first since Orlando Hudson did it in 2009.
"In this organization there is so much history," Bellinger said. "To see my name on some of that is pretty humbling."
Dodgers starter Alex Wood also made history Saturday, becoming the first Dodgers pitcher in more than a century to win his first 11 decisions in a season, but he graciously conceded any headlines to Bellinger.
"He's pretty special, huh?" Wood said. "It's great to see good things happen to good people. He is as humble and talented as they come."
The Associated Press contributed to this report.