N.J. Stat. § 54:4-69.2
If any taxpayer shall have paid the taxes upon any assessment of property under the provisions of chapter four of Title 54 of the Revised Statutes and shall, upon appeal, have obtained a judgment of the county board of taxation granting a reduction in the said assessment from which neither the taxpayer nor the municipality shall have duly appealed, or shall have obtained a judgment of the State Board of Tax Appeals granting a reduction in such assessment or confirming a reduction granted by the county board or any part thereof, such taxpayer may claim and the collector of taxes of the municipality shall allow a credit, in an amount equal to the appropriate refund incident to such reduction of said assessment, against any taxes then due or to become due on such property; provided, such property is at that time assessed against the same owner as it was at the time the appealed assessment was made. If said assessment shall be further litigated the taxes found to be due as a result of such litigation, either by way of increase or reduction, shall be adjusted in like manner.
N.J.S. § 54:4-69.2