The president of the Central Park Conservancy has the coronavirus, the nonprofit told The Post on Monday — hours after it was revealed that her husband, Port Authority chief Rick Cotton, is infected with the potentially deadly bug.

“Central Park Conservancy’s President, Elizabeth W. Smith, is working remotely after testing positive for COVID-19,”  the group said in a statement. “She was tested after experiencing mild symptoms over the weekend.

“As a precaution, a dozen members of Smith’s administrative team are also self-quarantined for two weeks. No other staff has tested positive for the virus.”

Earlier Monday, Gov. Andrew Cuomo told reporters that Cotton was among the seven newly confirmed virus cases in the city.