They’re Manhattan’s Bonnie and Clyde.

A male-female duo of violent purse snatchers is stalking Chelsea and Midtown, punching female victims in the face before taking their belongings, cops said.

The unidentified man and woman have mugged three women in 30 days and are still on the loose, cops said.

The first incident happened in front of Covenant Mercy Mission on 26th Street between 8th and 9th avenues just before 3:30 a.m. on Aug. 24 — when the female bandit punched a 24-year-old woman in the face and then the couple relieved her of her purse, cell phone, cash and credit cards, cops said.

Just after midnight a day later, a 30-year woman was socked in the face robbed of her purse outside of 257 W. 21st Street, police said.

The pair struck again Sept. 16th while riding a northbound No. 4 train in Manhattan. The couple got into an argument with a 48-year-old woman just after 3 p.m. when the lady bruiser punched her in the face, stole her purse and ran away when the train doors opened at Grand Central Station, cops said.