The women on the footage claimed they were hired by someone who claimed to be Brown's representative, but they denied taking the money or the gun and mentioned how other people were in the apartment days before Brown left.
Security and police were called to the scene and, when officers arrived, Brown allegedly was "extremely agitated, acting aggressively, and yelling at security personnel", according to the lawsuit.
Brown has not commented, CBS Pittsburgh reports.
The next day, cops were called back to the apartment complex after getting calls about Brown throwing furniture - including vases - off his balcony.
Antonio Brown is being sued after almost harming a toddler by throwing large furniture out his 14th story window in Florida. Sternberg is suing for assault and intentional infliction of emotional distress, claiming Brown acted "without regard for human life" during the alleged incident. A glass coffee table was broken along with other items.
Another lawsuit claims Brown almost hit a 22-month-old child and her grandfather with two vases and an ottoman that he threw out on April 24.
On April 25, Brown called police to report that his black Rolls-Royce was stolen. He was not arrested, but the complex informed Brown that he was going to be evicted.
But, when cops showed up to his apartment, Brown said, "I found the car" and closed the door in their faces.
The Steelers have said they will not be commenting on the situation.
The wide receiver is also the subject of a second lawsuit from his landlord over damage sustained to the apartment unit.
That lawsuit contends Brown breached the lease agreement by "destroying, damaging defacing the premises, as well as furnishings and appliances" belonging to the plaintiff.