Director sued for too many children
Jia Fangyi said that he and Guo Chengxi want Zhang to pay one billion yuan (£100 million) in compensation for the use of public services and as a punishment.
Although Zhang already faces a fine that could run into the millions of pounds, Mr Jia said he did not feel that was enough to deter other wealthy people from defying the regulations.
Zhang, who directed House Of Flying Dragons and Hero, admitted on Sunday having three children with his wife.
People caught breaking China's family planning policy must pay a "social compensation fee" based on their annual income.