From the park's site....
Mobile Sport Fishing Vehicle permits to operate 4-wheel drive vehicles on the fishing beaches may be obtained at the Park's Visitor Contact Station at the entrance gate.
$50.00 3-Day Permit
$195.00 Annual Permit
Download an Annual Mobile Sport Fishing Permit application: Mobile Sport Fishing Vehicle Annual permit (PDF Format - 446 KB)
To view this application, you either need PDF viewer enabled in your Internet application or Acrobat Reader on your computer. Most people have a copy of Reader somewhere on their computer but you may download the newest version FREE at the Adobe site.
The MSFV Permit will be issued only to the registered owner of the vehicle. Your mailed application for a MSFV Permit must include a photocopy of the vehicle owner’s registration and driver license. Those who have a leased vehicle must also include a copy of the lease document page(s) that show(s) that the vehicle is leased to the permit applicant. Those who apply for the MSFV Permit in person at the Island Beach gatehouse do not need to provide photocopies, but will be asked to present original vehicle registration, driver license and lease documents.
MANDATORY EQUIPMENT FOR A MOBILE SPORTFISHING VEHICLE (MSFV)
Permits are issued to 4-wheel drive vehicle owners for fishing purposes only. Carrying the basic equipment listed is required whenever the MSFV in on the beach.
1) Fishing equipment and bait and tackle for each person over 12 years of age;
2) Tire gauge;
3) Spare tire;
4) Workable jack and board/support for jack in sand (3/4 in. x 12 x 12 in. plywood square minimum size)
5) Tow chain or snatch line;
6) Shovel;
7) Flashlight;
Fire extinguisher;
9) Auto first aid kit;
10) Litter/trash bag;
11) Minimum of 1/4 tank of fuel.
A current tide chart is highly recommended. Jumper cables for the vehicle's specific battery type are also recommended.
About half way down the page is the list and a link to the permit application.
http://www.state.nj.us/dep/parksandforests/parks/island.html#fish