The parents of the tragic twins found dead in the Queens homeless shelter are no longer being questioned by police, law enforcement sources told The Post Saturday.

There are no signs of criminality in connection with the deaths of the three-month-old infants, identified as Liyam and Liyah Jenkins, a law enforcement source told The Post.

The infants weren’t breathing when they were found inside The Landing Shelter on Ditmars Boulevard in East Elmhurst around 3 p.m. Friday, sources said.

Emergency responders rushed the kids to Elmhurst Hospital Center in cardiac arrest and attempted to administer CPR, but the pair couldn’t be saved, and were pronounced dead around 4 p.m.

The father of the babies, who told detectives that he placed them in their cribs for a nap and then fell asleep, was being questioned alongside the kid’s mom Friday night — but cops let them go Saturday.

A shelter resident told The Post that the twins’ mother may have been staying outside the shelter when the children died.

“The mother got kicked out,” she claimed. “[The father] was left with the two kids.”

An online fundraising page shows the twins sweetly sleeping in a pair of small buckets, wrapped in blankets.

“As the family, our hearts are heavy as we prepare to find the means to lay these angels to rest,” Felicia Donaldson wrote on the page.

The Medical Examiner will determine the official cause of death, police said.