Hospital employees across the city say they’re fed up with being forced to work through lunch.

More than 125,000 health-service workers claims they are routinely cheated by computerized time-keeping systems that deduct meal breaks they don’t get to enjoy in class-action suits filed in Manhattan and Brooklyn federal courts.

The suits target some of New York’s best-known medical centers, including Mt. Sinai, Memorial Sloan-Kettering, New York Presbyterian and Montefiore, along with all their affiliates.

Damages, not specified, would likely be in the “tens of millions of dollars,” said plaintiffs’ lawyer Nelson Thomas, of Rochester.

The city Health and Hospitals Corporation said it plans a “vigorous defense” while the NYU Langone Medical Center said: “We believe that we are in compliance with all applicable laws.”

Reps for the other hospitals declined to comment.