The New Jersey Constitution of 1947 (Annotated) Art. V, § I, ¶ 4

4. The Governor and Lieutenant Governor shall be elected conjointly and for concurrent terms by the legally qualified voters of this State, and the manner of election shall require each voter to cast a single vote for both offices. The candidate of each political party for election to the office of Lieutenant Governor shall be selected by the candidate of that party nominated for election to the office of Governor. The selection of the candidate for election to the office of Lieutenant Governor shall be made within 30 days following the nomination of the candidate for election to the office of Governor. A person shall not seek election to both offices simultaneously. The joint candidates receiving the greatest number of votes shall be elected; but if two or more joint candidacies shall be equal and greatest in votes, one set of joint candidates shall be elected by the vote of a majority of all the members of both houses in joint meeting at the regular legislative session next following the election for Governor and Lieutenant Governor by the people. Contested elections for the offices of Governor and Lieutenant Governor shall be determined in such manner as may be provided by law.