Cops in Chelsea’s police precinct claim they are being tormented by a vindictive captain, their union alleges in a letter.

“You are under attack!!!!” reads an open letter to the members of the 10th Precinct that was obtained by The Post. “Captain Kevin J. Coleman is attacking you and your families.”

The Police Benevolent Association letter, signed by the Manhattan South Trustee John Flynn and Manhattan South Financial Secretary Merritt Riley, accuses Coleman of changing assignments with no regard for officers’ home lives.

It also alleges PBA delegates had their shifts changed after standing up for their fellow cops.

“The attacks are not physical, we know that, yet, they are just as dangerous. Captain Kevin J. Coleman is attacking you and your families by creating an extremely hostile work environment,” the letter states.

The NYPD did not immediately respond to a request for comment on the allegations.

The letter goes on to attack Coleman for skipping the Sept. 11 services to adjudicate a complaint against an officer who lost his father in a 9/11-related illness.

“All this comes at a time where we as a department are in the midst of a health crisis,” the letter reads, referring to a recent spate of suicides among officers. “When most are trying to find a solution Captain Kevin J. Coleman has done nothing but create a hostile work environment for the members of the 10th Precinct.”

The Captains Endowment Association union defended Coleman saying the captain “conducts his command operations in a fair and equitable manner” and clarifying that the compliant he adjudicated last Wednesday “began well before 9/11 and was not intended to coincide or distract from the solemnity of this day of mourning and remembrance.”