They became ill between September 26 and October 29, according to the DOH.
The U.S. Centers for Disease Control was assisting state health officials with testing for the respiratory virus.
State health officials have said the outbreak can only be declared over once four weeks pass without an additional case.
The state health department says there are four confirmed adenovirus cases among pediatric patients at Voorhees Pediatric Facility.
One of the deaths at the Wanaque centre was a young adult. But it can be serious in people with weakened immune systems, like those at the centre.
The dead, along with 17 children who have fallen ill, have all been "associated" with the outbreak of adenovirus infections that normally cause only cold- or flu-like symptoms but which can be deadly for those with weak immune systems, according to the state Department of Health.
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Poulos's daughter, who had required breathing and feeding tubes as part of her normal care, was transferred to another hospital with a fever but was later transferred back to the Wanaque facility, where she died last week.
Preliminary tests have ruled out the strain linked to the 10 deaths at the Wanaque facility.
New Jersey Health officials previously said Wanaque was cited in 2016 and 2017 for washing deficiencies, improper storage of syringes, failure to disinfect surfaces and other issues.
Officials have ordered the facility to stop admitting new patients until the outbreak ends.
"Now that the report is finalized, certain findings raise questions about whether these general long-term care standards are optimal for this vulnerable population of medically fragile children", Elnahal said. Some strains also cause diarrhea and conjunctivitis.
The outbreak appears to be confined to the facility's respiratory unit, he added. This type is "most commonly associated with acute respiratory disease", the CDC says. The outbreak was reported to authorities October 9, the state health department said.