New Jersey Statutes Title 53. State Police 53 § 5A-20

Upon the death of a retirant, any unpaid pension benefits due him shall be paid in one lump sum to such person, if living, as he shall have nominated by written designation duly executed and filed with the board of trustees, otherwise to the executor or administrator of the retirant's estate. No pension, annuity, or retirement allowance shall be due to a retirant or a beneficiary unless it constitutes a payment for an entire month; provided, however, that a pension, annuity or retirement allowance shall be payable for the entire month in which the retirant or beneficiary dies.