The person who took out the warrant on Leach was the target of a similar warrant that Leach first took out.
The alleged incident occurred in a downtown Lumberton restaurant last month.
The charge is a misdemeanor. Leach was released on a written promise.
Leach, when contacted on Thursday by phone, said he could not comment.
A police report said that Leach, 27, of the 5000 block of White Oak Drive, was involved in a fight with Reggie Allen Locklear, 28, of East Seventh Street, at Blackwater Grille at 111 W. Third St., on June 28. That night Leach was holding an all-white dress event at the bar and restaurant.
According to the report, two women began fighting inside the restaurant at about 2 a.m. When Leach attempted to usher the women out of the business, Locklear said he asked Leach "who he was talking to" and Leach hit him in the face with a beer bottle and kicked him.
According to Leach's account, he told the women to leave and Locklear assaulted him and he defended himself.
Leach took out a warrant charging Locklear with simple assault on June 28. Locklear was arrested on July 1 and has a court date for Aug. 18.
The alleged fight was one of several that were reported at the Blackwater Grille that night and included a brawl that took place outside of the restaurant after closing.
Leach is a graduate of South Robeson High School. He received a scholarship from East Carolina University and signed a free-agent contract with the Green Bay Packers in 2004.
After a stint with the New Orleans Saints in 2006, Leach found a home with the Houston Texans as their starting fullback. On March 19, 2008, Leach signed a four-year, $8 million contract with the Texans. Leach was named a Pro Bowl alternate for the 2008 season.
Each Christmas, Leach hosts the "Shop With A Jock Christmas Drive" during which he provides $100 gift certificates to Walmart for 40 to 50 needy children.
Leach is known for his charity work and met President George W. Bush on Nov. 30, 2008, when he received the President's Volunteer Service Award.