New Jersey Statutes Title 17. Corporations and Institutions for Finance and Insurance 17 § 22-6.79

a. Any person having a covered claim that may be recovered from more than one insurance guaranty association, or its equivalent, shall be required to exhaust first his rights under the statute governing the association of the place of residence of the policyholder at the time of the insured event, except that if it is a first party claim for damage to property with a permanent location, he shall seek recovery first from the association of the jurisdiction in which the property is located.If recovery is denied or deferred by that association, a person may proceed to seek recovery from any other insurance guaranty association from which recovery may be legally sought.

b. Any person having a claim under an insurance policy other than a policy of an insolvent insurer , shall be required to exhaust first his right under that other policy.For purposes of this subsection b., a claim under an insurance policy shall include a claim under any kind of insurance, whether it is a first-party or third-party claim, and shall include without limitation, general liability, accident and health insurance, workers' compensation, health benefits plan coverage, primary and excess coverage, if applicable, and all other private, group or governmental coverages.