An NYPD lieutenant who toiled more than four months at Ground Zero after 9/11 has died of complications from lung cancer, her family told The Post Friday.

Marci Simms, 51, “was an incredible woman,’’ her grieving sister, Susan Fosco, said of Simms, who died Thursday at home on Long Island.

“She was definitely a tomboy growing up. She always used to say, ‘If a man could do it, I can do it.’ ’’

Simms earned a master’s from John Jay College of Criminal Justice, taking classes at night and working in an office during the day.

“There wasn’t anything my sister put her mind to do that she couldn’t do,” Fosco said.

The medical bills of the Brooklyn-born married officer — whose last assignment was in the 107th Precinct in Fresh Meadows, Queens — were covered under the Zadroga 9/11 Health and Compensation Act.

That law, however, is set to expire in 2016.

“There’s many more like my sister,’’ Fosco said. “They promised they would always protect them and they are giving up on them.

“They laid their lives down and now they’re getting sick. Just like those walls crumbled down, they’re crumbling now.”

A funeral will be held at Gutterman’s Funeral Home in Woodbury, LI, at 11 a.m. Sunday.

The family is requesting that in lieu of flowers, donations be made to the PBA Widows and Children’s Fund.