First, here's NJ's online registration system ... it will probably lead you through the process: https://www.state.nj.us/cgi-bin/treasury/revenue/dcr/filing/page1.cgi
But here's EVERYTHING you need to do (Note in paragraph 4 that the filing fee is $125):
Check business name availability to ensure that your name for your New Jersey S corporation is distinguishable from other entities that operate in the state. You must select a business name that does not have a similarity to existing businesses registered with the New Jersey Division of Revenue. Call the New Jersey Division of Revenue at(NNN) NNN-NNNNto confirm name availability. Add words like "corporation," "incorporated" or "company" to the legal name of a New Jersey S corporation.
Recruit at least one director to serve on the New Jersey S corporation's board of directors. Directors does not have to live in the state, but each director must have reached at least 18 years of age. Directors do not have to own shares of the business. They have the responsibility of governing the company's business activities, allocating company resources and selecting officers to manage the day-to-day affairs.
Complete a certificate of incorporation. Print a fill-in-the-blank certificate of incorporation from the New Jersey Division of Revenue website, or call(NNN) NNN-NNNNto have the certificate sent to you by mail. List the legal name and address of your New Jersey S corporation, as well as the number of shares the company has the authorization to issue to potential investors. State the name and address of the company's registered agent. The agent may be a person or business that agrees to accept legal documents on behalf of the company. List the name and address of each incorporator responsible for filing the certificate of incorporation with the Division of Revenue. Indicate the purpose for beginning the company and the date when the company will end its existence, unless it will have an unlimited life. Include the number of directors who will serve on the board.
File the certificate of incorporation. Submit it electronically using the Division of Revenue website, or file the certificate of incorporation in person at 200 Riverview Plaza, Trenton, New JerseyNNN-NN-NNNN Mail the completed certificate of incorporation, if that serves as a more feasible option. It costs $125 to file a certificate of incorporation.
Compose bylaws to establish rules and regulations for operating your S corporation. New Jersey does not offer specific rules regarding the content of an S corporation's bylaws. Include information in the bylaws such as the date and time of company meetings, criteria for selecting new directors and the compensation due to the company's officers. Maintain the bylaws at the company's primary office location, since there is no requirement to file the bylaws with any New Jersey government agency.
Print Form 2553 from the IRS website, or call 800-TAX-FORM to have it sent to you by mail. Provide information about your New Jersey S corporation such as its legal name and address, along with the number of employees who work for the company. Offer an explanation of the company's business activities and include the signature of every shareholder. Form 2553 must get filed within 75 days of filing the certificate of incorporation with the state Division of Revenue. Fax Form 2553 to(NNN) NNN-NNNNor mail Form 2553 to the Department of Treasury, IRS, Cincinnati, Ohio 45999.
Here's an excellent article:http://www.ehow.com/how_8396541_form-corp-new-jersey.html
Hope this helps,