City Council Speaker Melissa Mark-Viverito said Tuesday that critics of the city’s plans to convert a maintenance building into stables in Central Park should just accept that the city has the power to do it.

“At the end of the day, the city owns the park, the city owns this facility, and the city is making a decision to invest in this facility,” Viverito said.

“There are those who may think they own the park. Central Park Conservancy has a contract with the City of New York. The park in Central Park is city property, and the mayor does make decisions as to what are priorities for the city.”

The conservancy, an influential nonprofit that oversees the park’s operations, has not taken a public position on relocating carriage horses to new stables near the 85th Street transverse.

The speaker’s comments came two days after Mayor de Blasio announced plans to limit carriage horses to Central Park and house them in the new stables.

The proposal, which needs council approval, would also force Central Park pedicabs to operate north of 85th Street, a move likely to put many out of business.

Outside City Hall on Tuesday, pedicabbies protested the move, chanting: “Central Park is not for sale.”