Talib was released after posting a $25,000 bond Wednesday, Garland police said.
Police said they believe Talib and his mother, Okolo Talib, shot at the man March 21. The man was not injured.
Authorities had issued arrest warrants for aggravated assault with a deadly weapon for Talib and his mother. His mother, who faced a felon in possession of a firearm charge, turned herself in Tuesday and bonded out.
Bucs general manager Mark Dominik said in a statement Tuesday that the team was "deeply troubled by the serious charges" against Talib.
Talib's attorneys released a statement Thursday saying Talib "vigorously denies" the allegations.
"Given that the charges are only allegations, we are deeply troubled that certain members of the media have jumped to unfair conclusions concerning Aqib. Aqib is confident that once all of the facts are known, this matter will be resolved favorably and in an expeditious fashion. Aqib remains very committed to his family and the
Tampa Bay Buccaneers organization," attorneys Jay K. Reisinger and Frank A. Perez said.
A Garland police spokesman said in a radio interview with Tampa station WDAE (620 AM) Tuesday afternoon that detectives met with Aqib Talib last week and continued their investigation before making the decision to charge him with a crime. The spokesman said the charge is a second-degree felony, which can carry a prison sentence of five to 20 years.
Talib, who went to L.V. Berkner High School in the Dallas suburb of Richardson, played at the University of Kansas and was a first-round pick by the Buccaneers in 2008. He has been in trouble before. He was suspended by the NFL for the first game of last season after a 2009 altercation with a cab driver.
He was entered into a pretrial diversion program and ordered to attend anger management classes after the incident with the cab driver, with whom he reached a financial settlement.
Although NFL players are currently locked out, commissioner Roger Goodell said last week they still are subject to the league's personal conduct policy and disciplinary action can be taken after the labor situation is resolved.
The 25-year-old Talib has 15 interceptions in three NFL seasons.
Information from The Associated Press and ESPN.com's Pat Yasinskas was used in this report.