Two suspicious, early-morning fires ripped through a Staten Island convent and chapel — trapping a nun upstairs and forcing her to make a desperate leap from the second floor that broke her back, authorities said.

The NYPD’s Hate Crimes Task Force is assisting in the investigation of the 5:30 a.m. blaze in the Arrochar section.

Sister Regina Gegic and another nun were staying in an older, mostly unused residential building at the St. Joseph Hill Academy on Saturday morning when she saw the fire.

Gegic broke three vertebrae from her jump but could move her feet and was being treated at Staten Island University Hospital’s intensive-care unit, according to a co-worker.

“All I know is she is alive and she is still under observation,” the fellow nun said.

The fires are the second disturbing incidents in as many months at the private school, which recently constructed a new convent building to house its nuns.

In August, a week before the new convent was set to open, a group of mischief-making teens broke into the building and trashed it.

They caused $15,000 worth of damage, including rooms and halls flooded with water and bleach, broken doors, smashed video monitors and sinks full of gravel, according to the Staten Island Advance.

The damage was repaired by a generous contractor before the nuns moved in.

More than a dozen nuns are visiting the convent from all over the globe — England, Austria, Hungary, Brazil, Wisconsin, Indiana — for the 100th anniversary of Daughters of Divine Charity in the United States, which runs the academy.

Gegic was sleeping in the old convent, commonly referred to as “the mansion,” to make room for the visitors, another co-worker said.

“We hope that she’s going to be OK. We hope and pray,” Beth Johnsen, development director for the Sisters of Divine Charity, told the Advance.

Five people were hurt in Saturday’s two-alarm blaze, which started just after 5:30 a.m. and was under control about an hour later, fire officials said.

Four firefighters were also hurt but in stable condition at Staten Island University Hospital.

A woman who came to check on the nuns said: “We never had an issue until that new building” went up.

“There has been stuff going on,” she said, referring to the vandalism.