NEW YORK — McDonald’s workers in 19 cities have filed complaints over burns from popping grease, a lack of protective equipment and other workplace hazards, according to labor organizers.

The complaints are the latest move in an ongoing campaign to win pay of $15 an hour and unionization for fast-food workers by publicly pressuring McDonald’s to come to the bargaining table. The push is being spearheaded by the Service Employees International Union and began more than two years ago. Already, it has included protests around the country.

The burns and other hazards were detailed in complaints announced Monday and filed with U.S. Occupational Safety and Health Administration in recent weeks. Workers cite a persistent lack of gloves for handling hot equipment and say they’ve been burned while cleaning grills that have to be kept on. One worker says he was told by a manager to, “put mayonnaise on it, you’ll be good.”

The complaints also detail a lack of training for handling hot fryers and slipping on wet floors.

A representative for the Labor Department, Laura McGinnis, confirmed the complaints were received by OSHA but said the agency does not discuss ongoing investigations.

In a statement, McDonald’s said the company and its independent franchisees are committed to providing safe working conditions and will review the allegations. “It is important to note that these complaints are part of a larger strategy orchestrated by activists targeting our brand and designed to generate media coverage,” Heidi Barker Sa Shekhem, a McDonald’s spokesman, said.