A mob-linked construction company is suing the city for more than $37 million over its work on the Macombs Dam Bridge.

Schiavone Construction Co. claims the city shortchanged it by nearly $4.9 million on a $142 million contract from 1999.

The New Jersey-based firm’s Manhattan federal-court filing also claims it racked up more than $32 million in extra costs due to poor city planning.

A 2005 affidavit filed by the feds alleged that Schiavone was tied to the Genovese crime family, and that company execs schemed to steer city money to a mob-linked trucking-company official.

A spokeswoman for the city Law Department, Liz Thomas, said Schiavone originally filed its claims over the bridge job in 2007, and the pending suit was filed under terms of a court-ordered stipulation.

“We continue to analyze these claims,” she said.