A total of five people were charged in the fight that started after 2 a.m. in the foyer of the MGM Grand casino, where Combs headlined a "platinum party" as part of a 20th anniversary celebration for Foxwoods.
A state police detective was treated for minor injuries at a hospital and was released, police said.
Jones, a hip-hop artist and actor whose "We Fly High" was one of 2007's top-selling rap tracks, was charged with resisting arrest for an alleged assault on an officer and breach of peace, state police spokesman Lt. J. Paul Vance said. The other four people arrested faced charges including inciting to riot.
Vance said he was not certain how the altercation began.
Jones said on Twitter that he posted $40,000 in bond, adding later Saturday: "This is gettin blown way out of proportion."
An attorney who has represented Jones in past scrapes with the law did not immediately respond to a message Saturday seeking comment.
In October, Jones pleaded guilty to driving his Bentley with a suspended license in New York and was fined $200.
In 2009, he pleaded guilty to a misdemeanor assault charge for punching one of R&B star Ne-Yo's friends in a dust-up at a Louis Vuitton boutique. He was sentenced to time served — the few hours he was in custody after turning himself in to police.
The 35-year-old rapper, born Joseph Jones, is one of the Diplomats, a Harlem-based rap crew. Besides "We Fly High," his hits include "Pop Champagne." He released a new album, "Capo," in April.
He also has a T-shirt line and starred in 2009's "Hip-Hop Monologues: Inside the Life and Mind of Jim Jones," a play about his life on the road and on the streets.