TRENTON -- A new gun control measure that was pushed by former U.S. Rep. Gabby Giffords is now on Gov. Chris Christie's desk.

The state Senate and state Assembly on Thursday both voted to approve a bill (A4218) that would require judges to order those subject to a domestic violence final restraining order or convicted of a domestic violence offense to turn over their weapons to law enforcement within 24 hours, or sell them.

New Jersey already prohibits those convicted of domestic violence and subject to temporary restraining orders from possessing firearms, and police who respond to a domestic violence call already seize weapons if there's probably cause. But advocates for the bill say it needs a better enforcement mechanism. Giffords, an Arizona Democrat who was shot in the head at a 2011 constituent relations event, came to Trenton in March to advocate for the legislation.

"We need to be sure all domestic abusers turn over their guns. This is a deadly gap in the law," said Brett Sabo, volunteer with the New Jersey chapter of Moms Demand Action for Gun Sense in America.

The bill passed 29-1 in the state Senate and 49-11 with 19 abstentions in the Assembly.

Gun rights advocates say the bill is too broad and that several non-violent offenses are counted as domestic violence under New Jersey law. They have also argued that victims of domestic violence should have their applications for firearm purchase permits expedited.

"This bill does not talk about taking guns. It clarifies the process," said Sen. Loretta Weinberg (D-Bergen), a sponsor of the bill.

Although Christie has not commented on this specific bill, he refused to sign several gun control measures Democrats sent him over the last two years and has spoken out against new gun control laws while laying the groundwork for a Republican presidential campaign.

NJ Advance Media staff writer Sara Jerde contributed to this report.

Matt Friedman may be reached at mfriedman@njadvancemedia.com. Follow him on Twitter @MattFriedmanSL. Find NJ.com Politics on Facebook.