Restaurateur Michael Stillman and his wife, Allison, have purchased an Upper East Side co-op for $6.85 million.

That’s just under its asking price of $6.99 million.

Stillman is the president and founder of New York-based Quality Branded, the group behind Quality Meats, Quality Italian, Smith & Wollensky and other high-end restaurants.

The four-bedroom full-floor unit at at 29 E. 64th St. spans more than 4,000 square feet and includes a private elevator landing, a formal living room, an eat-in kitchen and a corner master bedroom.

It also comes with a $10,050-a-month maintenance fee.

As for building amenities, there’s a full-time doorman, a live-in resident manager, private storage and a bicycle room.

The listing brokers were Henry Hershkowitz, Heather McDonough Domi, Christine Miller Martin and Deanna Lloyd, of Compass.