Goldstein, who said he has a cordial relationship with the governor, promised to continue fighting him vigorously on the issue. "And we will win, so help me God," he said.
Another gay marriage supporter, Washington state Democratic Gov. Chris Gregoire, also reached out to Christie, a practicing Catholic. Gregoire sent the governor a letter last month offering to talk about gay marriage because, in her words, "while I am a Governor, I am also a Catholic."
The Roman Catholic Church opposes same-sex marriage.
Gregoire signed a gay marriage measure into law in Washington on Monday. Her spokeswoman, Karina Shagren, said Christie hasn't responded to the letter.
Thirty states, including South Carolina, have adopted constitutional amendments banning same-sex marriages, most by defining marriage as a union between a man and a woman.
Six states and Washington, D.C., allow gay marriage. Washington state's new gay marriage law is set to go into effect in June.
Lawmakers in New Jersey have until the end of the legislative session in January 2014 to override the veto.
They would need two-thirds of the lawmakers in the Assembly and Senate to agree. Both votes to pass it fell short of that mark. Christie has virtually guaranteed that no override would succeed because Republicans wouldn't cross him.
The Democratic-controlled Legislature has failed in every previous attempt to override Christie, most notably on a cut to women's health care and an effort to reinstate a tax surcharge on millionaires.
Christie — and most Republican lawmakers — want to put the issue to a public vote. One GOP lawmaker, Sen. Kip Bateman of Somerset, has proposed a ballot question asking voters to allow same-sex nuptials. However, the most powerful Democrat in the Legislature, Senate President Steve Sweeney, has said that won't happen.
Democrats are hoping that support for gay marriage — 52 percent for gay marriage, 42 against it, in New Jersey, according to one recent voter poll — will continue growing.
If same-sex couples can't win gay marriage through legislation, they have engaged in a parallel fight in the courts. Seven gay couples and several of their children have sued, claiming that the state's civil union law doesn't work as intended.
Civil unions were designed to provide the benefits of marriage to gay couples without the title. They were adopted after the Supreme Court instructed the Legislature to provide marriage equality to same-sex couples.
The state's own review commission has since found problems with the law, and same-sex couples have backed that up with testimony before the Legislature.
John Grant and Daniel Weiss, an Asbury Park couple who are in a civil union, are among those who testified in support of gay marriage.
When Grant was in a life-threatening automobile accident and rushed to a New York hospital in 2010 — before that state legalized gay marriage — Weiss said he couldn't authorize badly needed surgery or even go through his partner's wallet to find his health insurance card. He said their civil union was essentially worthless; Grant's neurosurgeon even asked, "What is a civil union?"
A gay marriage bill was defeated in the Senate two years ago, just before Gov. Jon Corzine, a Democrat who supported the measure, left office. Advocates' hopes dimmed with the arrival of Christie, who spoke against gay marriage when asked about it during his campaign.
Associated Press correspondent Rachel La Corte in Olympia, Wash., contributed to this report.
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