Bert Fields says the lawsuit was filed Wednesday in Los Angeles federal court. Fields says Cruise doesn't like to file lawsuits but that the assertion that the actor has abandoned his daughter is a "vicious lie." If Cruise prevails, Fields says his client would give the money to charity.
An email message left for a spokeswoman for Bauer Publishing, which produces Life & Style, was not immediately returned.
Cruise and Siri's mother, Katie Holmes, were divorced earlier this year. They had been married for six years.