Missing New Jersey nanny Stephanie Parze’s ex-boyfriend admitted in a suicide note that he killed the 25-year-old Freehold woman, prosecutors said Monday.

John Ozbilgen, 29, left the note near his body when he hanged himself in his parents’ garage on Nov. 22 — less than a month after Parze went missing.

“In the note, Ozbilgen stated that he had had enough and he could not do life in prison,” Monmouth County Prosecutor Christopher Gramiccioni said at a press conference Monday.

“Ozbilgen acknowledged that he had dug himself a deep hole and wrote at the end of his note that this was his only choice. Sadly, however, he had not disclosed in the note where he disposed of Stephanie’s remains,” Gramiccioni said, suggesting the family could have found closure sooner.

Parze, 25, went missing Oct. 30 after a girls’ night out at a comedy club with her mom, her three sisters and other relatives, prompting an extensive search as far away as Staten Island by volunteers and police.

Parze had driven to her parents’ house after the show before heading home — but was never seen again.

Authorities said two teenagers discovered her “fairly decomposed” body at 2:46 p.m. Sunday just south of Old Mill Road in Old Bridge, prosecutors said.

Authorities confirmed it was Parze‘s body on Monday morning.

Ozbilgen, her on-again, off-again boyfriend, was identified as “a person of interest” in her disappearance but took his own life before any determination could be made.

Parze’s father said Monday it was “an extremely somber day for us.”

“It goes without saying our family is devastated,” he said. “Our friends, our community, and our lives are never going to be the same. However, Stephanie’s home. She’s coming home at last where she belongs and we have God to thank for that.”