N.J. Stat. § 40:56-28
Except as provided in article 4 of this chapter (s. 40:56-58 et seq.), as to cities of the first class, in addition to the making of assessments for benefits the said officer, board or commissioners, or a majority of such board or commission, shall also at the same time fix and determine the amount, if any, that any property is damaged incidentally to the making of the improvement, but exclusive of damages for real estate taken, and the amount of such incidental damages accruing to any real estate shall be deducted from the amount of any benefits assessed thereon. If the amount of any such damages as confirmed by the governing body shall exceed the benefits assessed upon the same real estate, or in case no benefits shall accrue thereto, the balance or the amount of such damages as so fixed, may be raised as provided by law, and shall be paid by the municipality to the owner of the real estate so damaged. Any person aggrieved by any such assessment or award of damages may after the same has been confirmed by the governing body with or without alteration, appeal therefrom as provided in sections 40:56-54 and 40:56-55 of this title.
N.J.S. § 40:56-28