Websites TMZ.com and RadarOnline.com both claim to have copies of the audio, in which Gibson reportedly used the 'N' word while raging at Oksana Grigorieva, the mother of his baby daughter - but, as WENN went to press, the sites hadn't gone public with the recording and Gibson hadn't commented.
But Jackson is already on the warpath, telling TMZ.com the actor/director's outburst "demonstrates once again that we are far from a society that is beyond race and racism.
"His (Gibson) penchants for anti-Semitic and racist diatribes reveal the actor's fundamental character flaw. He needs help."
Four years ago (06), Gibson hit the headlines after he fired-off anti-Semitic comments to a Jewish traffic cop, who arrested him on a charge of drink driving in California.
Gibson publicly apologised for his drunken remarks.
The actor/director and his ex, a Russian pop star, split earlier this year (10) and are currently locked in a messy child support legal battle.
TMZ.com reports that the audio tapes featuring Gibson’s alleged rants have been turned over to court officials.