Cops across the city have been warned to let ladies go topless.

For 10 consecutive days earlier this year, amid a legal duel with a topless female Bronx performance artist, officers were told not to arrest any men — or women — “who are simply exposing their breasts in public,” according to a police memo.

The case involves Holly Van Voast, whose act includes going topless in public and who is suing the city over her, um, busts.

She claims she’s been arrested or tossed into mental wards after doffing her shirt on 10 occasions since 2011.

The February memo from the chief of the department tells cops to “not issue summonses or take law-enforcement action” against anybody naked from the waist up.

Voast’s lawyer, Ron Kuby, said he’s pleased “the city has finally instructed the police as to the legal handling of bare breasts.”

But Kuby wants the city to pay.

“Holly deserves compensation for two years of arrests, summonses and forcible trips to mental institutions.”

Her Manhattan federal-court filing seeks unspecified damages for false arrest and civil-rights violations.

A city Law Department spokeswoman said officials “will review the allegations.”