Here’s the NJ statute that sets out the requirements for naming a NJ nonprofit. According to the statute, using the words “a New Jersey nonprofit corporation” in the name is just one of the options…
TITLE 15A, CORPORATIONS, NONPROFIT
CHAPTER 2. FORMATION OF CORPORATION
§ 15A:2-2. Corporate name of domestic or foreign corporation
a. The corporate name of a domestic corporation or of a foreign corporation authorized to transact business in this State:
(4) Shall contain one of the following: “a New Jersey nonprofit corporation,” “incorporated,” “corporation,” “inc.,” or “corp.” unless it is a corporation which could organize pursuant to the provisions of Title 16 of the Revised Statutes.