He is portrayed by Rudolf Martin.
Levon Tibibian is like any other drug dealer and criminal. He wants business done without anyone in his way, including cops. He takes his business in dealing heroin very serious.
He was also found out of in kidnapping Alvarez's son Oscar. Apparently, Ramon had stolen a block of heroin from Tibibian and his men, and was murdered for it, and Oscar was kidnapped in exchange for the heroin back.
Later, Riggs promises to get Oscar back for Mrs. Alvarez. Riggs goes to the hideout at the Port of L.A. with the heroin, and soon after as a gunfight ensues, Murtaugh joins in. There, they killed Tibibian, his second-in-command Hennicky, and the rest of their men, and rescued Oscar.