Christie Brinkley's ex-husband Peter Cook has reignited his legal battle with the supermodel by filing a motion to shut down her recent child support claim.

During their 12-year marriage Cook had one daughter with Brinkley, named Sailor, and he also legally adopted her son with ex-husband Richard Taubman, Jack Paris.

The pair has been locked in a war of words over its divorce settlement since the two split in 2008 and this week Cook filed legal papers against his former wife at New York's Suffolk County Supreme Court, alleging he shouldn't have to pay the beauty upwards of $32,000 in back child support payments.

According to the New York Post, the businessman claims he's owed $25,000 because he looked after their two kids for five months while Brinkley performed in the musical Chicago on Broadway and in London's West End.

Neither star has publicly addressed the new legal battle, with Cook telling the publication, "I can't comment on any of that."