The lawsuit alleges that poor security at the stadium contributed to the brutal attack the night of the Dodgers home opener.
According to the lawsuit, Bryan Stow, 42, was continuously threatened during the game and immediately following the end of the game, but the security staff failed to take any action.
"It's fairly simple. The Dodgers have shown a total disregard for public safety," Stow family attorney Thomas Girardi told ESPN. "They've gotten rid of security people. They've had all these incidents at their games, more than other teams. There's also a known gang presence. What did they think was going to happen?"
The lawsuit also alleges that it took 10 to 15 minutes for security to respond after the beating.
Stow remains in a medically induced coma in critical condition.
A spokesman for the team declined to comment on the lawsuit, citing a policy of not discussing pending litigation.
New security measures were implemented at Dodger Stadium in response to the attack, including more police officers at the stadium. Long-term strategies will look at technology, observation posts, license plate readers, parking lot lighting, environmental studies and increased community outreach.
One of two attackers remain outstanding in the case. Giovanni Ramirez, 31, of Los Angeles, was arrested just after 7 a.m. Sunday at an apartment building in the 800 block of North Mariposa Avenue in east Hollywood. He was booked for assault with a deadly weapon and is being held on $1 million bail.
Officials identified Ramirez as the primary aggressor in the attack. The second suspect is still at large. Police are also searching for a woman who allegedly drove the men away from the scene.
Anyone with information about the suspects is urged to call (877) LAPD-24-7.
City News Service contributed to this report.