Bryant was arrested last month by Miami-Dade police and charged with criminal mischief for trying to break down the door at the home of Isaac Bakar, The Miami Herald reported Monday.
Police described Bryant as intoxicated and incoherent at the time of his arrest.
Bakar, his wife and three children were awakened about 5:30 a.m. Feb. 24 by a shirtless Bryant charging their front door, police said.
Bryant pulled a handle off the door as Bakar tried to hold the door closed.
"They were scared," says Baker's attorney, Robert Fiore, after filing the suit Monday in Miami-Dade circuit court.
Bryant, 27, is 6-foot-6 and 311 pounds. Bakar, a 43-year-old roofing contractor, is 5-foot-11 and 170 pounds.
Police said Bryant was "extremely intoxicated" after drinking at a South Beach nightclub when he took a taxi to what he thought was his condo in Aventura.
Bakar and Bryant do not know each other and they are not neighbors.
Bryant received a five-year $34 million contract from the Browns last week and afterwards apologized for the disturbance.