N.J. Stat. § 43:13-42
No pension shall be paid to the surviving husband of a deceased employee or officer unless he shall be and shall continue to remain dependent upon the income which such employee or officer was receiving at the time of her death, nor unless he shall be and shall continue to remain physically or mentally incapable of pursuing a gainful occupation. No pension shall be paid to any minor child or dependent parent of such female employee or officer unless the minor child or dependent parent shall be and shall continue to remain dependent upon the income which such employee or officer was receiving at the time of her death. The pension commission shall determine the question of the dependency of the surviving husband, minor child or dependent parent, as well as the ability of the surviving husband to pursue some gainful occupation.
N.J.S. § 43:13-42