N.J. Admin. Code § 5A:4-2.2
In order for a spouse or dependent child to be eligible for interment, the eligible sponsor must be interred or agree to be interred in a veterans' memorial cemetery. The surviving spouse of a veteran remains eligible for burial in the Veterans' Memorial Cemetery based on his or her marriage to the veteran, regardless of the status of a subsequent marriage, as long as the effective date of death is on or after January 1, 2000. The Veterans' Memorial Cemetery recognizes a veteran's marriage if the marriage was recognized under the law of the place where at least one of the parties resided when they were married or when the claimant became eligible for benefits. The Veterans' Memorial Cemetery also recognizes all same-sex marriages without regard to a veteran's current or previous state of residence.
N.J. Admin. Code § 5A:4-2.2