City Council Speaker Christine Quinn yesterday called on her West Village constituents to boycott a Greenwich Village McDonald’s because of a series of brutal fights — outside and inside — one as recently as this past weekend.

Quinn said the boycott would last until the West Third Street eatery’s owners agree to hire off-duty NYPD cops for security.

The restaurant has a guard some weekday and weekend nights, and owners will meet with officials on the issue, a McDonald’s rep said.