Barker's suit claims the companies improperly operated and maintained the plane. The Sept. 19 crash killed two pilots, Barker assistant Chris Baker and Barker bodyguard Charles Monroe Still Jr.
Still's mother, Thelma Martin Still, is also suing the companies.
Barker and disc jockey DJ AM were both injured in the crash.
Messages left for the plane's owner, maintenance firm and Goodyear were not returned Friday.
