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Michael D. Cohen, the former personal lawyer and fixer for President Trump, sued the Trump Organization on Thursday. He accused the company of breaking a contract when it refused to pay about $1.9 million in legal costs after he began cooperating with federal prosecutors.

The lawsuit, filed in State Supreme Court in Manhattan, said that the Trump Organization had failed to live up to an agreement to pay for any legal fees or related costs Mr. Cohen incurred in his work with the Trump Organization.

Mr. Cohen is also seeking reimbursement for an additional $1.9 million he was ordered to pay in fines, forfeiture and restitution after he pleaded guilty to breaking campaign finance laws, evading taxes and lying to Congress, the lawsuit said.