If you entered your military information on the federal return, there is a box to mark on the NJ return, on the page titled Other situations that may apply to you, see image below.
You are eligible for a $6,000 exemption on your New Jersey Income Tax return if you are a military veteran who was honorably discharged or released under honorable circumstances from active duty in the Armed Forces of the United States on or any time before the last day of the tax year.
Here are some other NJ Veteran Tax Benefits that you may qualify for - Thank you for your service!
@david-burkhart5169 wrote:
I am eligible for a $6000 credit ...
Note that the $6,000 is an exemption, not a credit. It reduces your taxable income by $6,000. It does not reduce your tax by $6,000 or increase your refund by $6,000.