N.J. Stat. § 40:45-7
Except as may otherwise be provided by law for initial elections conducted in a municipality following its adoption of a plan or form of government, or a charter or an amendment thereto, regular municipal elections shall be held in each municipality governed by this act on the second Tuesday in May, or the day of the general election in November if chosen by the municipality pursuant to subsection a. of section 1 of P.L. 2009, c. 196(C.40:45-7.1), in the years in which municipal officers are to be elected. The municipal election shall be held at the same place or places and conducted in the same manner, so far as possible, as the general election. The election officers shall be those provided for conducting the general election.
A municipality holding municipal elections on the second Tuesday in May, in addition to those elections and by an ordinance adopted by its governing body, may also conduct early voting for those municipal elections, in accordance with the provisions of P.L. 2021, c. 40(C.19:15A-1 et al.). A municipality holding municipal elections on the day of the general election in November shall conduct early voting in accordance with the provisions of P.L. 2021, c. 40(C.19:15A-1 et al.).
Notwithstanding the provisions of this section, the Secretary of State may change in any year the date provided for a regular municipal election if the date coincides with a period of religious observance that limits significantly the usual activities of the followers of a particular religion or that would result in significant religious consequences for such followers. The secretary shall inform the municipal clerks, county clerks and boards of election of the adjustment no later than the first working day in January of the year in which the adjustments are to occur.
As used in this section "a period of religious observance" means any day or portion thereof on which a religious observance imposes a substantial burden on an individual's ability to vote.
N.J.S. § 40:45-7