What was Jackson pollock's family?

Apparently not. Neither the biographies of Pollock nor his wife Lee Krasner mention any children. His mistress was the sole Survivor of the car crash that claimed his life, but there is not an indication that she ever had a child by him.

A quote from Marcia Gay Harden, the actress who portrayed Lee Krasner in the film "Pollack": the artist refused to have children with Pollock (She already had a child. She had Jackson)" is based on extensive background research by the director/actor Ed Harris.