FILE - In this May 16, 2012 file photo, Senate Judiciary Committee Chairman Sen. Patrick Leahy, D-Vt. gestures during a committee hearing on Capitol Hill in Washington. The Senate on Tuesday is expected to put aside its partisan divisions to approve a renewal of the Violence Against Women Act, a law credited with protecting millions of victims of domestic violence over its 20-year history. WASHINGTON (AP) - By a robust bipartisan majority, the Senate voted Tuesday to renew the Violence Against Women Act with new assurances that gays and lesbians, immigrants and Native American women will have equal access to the act's anti-domestic violence programs. The 78-22 Senate vote to reauthorize the two-decade-old act that has shielded millions of women from abuse and helped reduce national rates of domestic violence turns the focus to the House, where Republican leaders are working to come up with their own version. "Over 160 million women across the country are watching and waiting to see if the House will act on this bill and finally provide them the protections from violence they deserve," said Sen. Patty Murray, D-Wash. The act expired in 2011, putting efforts to improve its many federal programs on hold. Last year both the Republican-led House and the Democratic-controlled Senate passed renewal bills, but they were unable to reach a compromise. This year House Republicans, sensitive to their lackluster showing among women voters in the November election, have vowed to move expeditiously on the issue. House Majority Leader Eric Cantor, R-Va., has taken the lead in negotiating the terms of a House bill. On Monday 17 House Republicans wrote Cantor and Speaker John Boehner, R-Ohio, urging immediate action. The act's "programs save lies, and we must allow states and communities to build upon the successes of current VAWA programs so that we can help even more people," they wrote. The Senate bill, while promoted by Senate Judiciary Committee Chairman Patrick Leahy, D-Vt., and other Democrats, is cosponsored by a Republican, Mike Crapo of Idaho, and garnered 23 Republican votes. All 20 women members of the Senate voted for the bill. President Barack Obama, in a statement, praised the Senate for working across party lines to pass the bill and said: "the bill passed by the Senate will help reduce homicides that occur from domestic violence, improve the criminal justice response to rape and sexual assault, address the high rates of dating violence experienced by young women, and provide justice to the most vulnerable among us." During debate, the major divisive issue was a provision that allows tribal courts to prosecute non-Indians accused of assaulting Indian women on reservations. Republicans, arguing that subjecting non-Indians to Indian courts was unconstitutional, offered two amendments to strip that section from the bill, but both were defeated. The Indian court issue is expected to be a hurdle as lawmakers try to reconcile the Senate bill with the eventual House bill. Others have argued that those tried in Indian courts should have better defined rights to appeal to federal courts. The original 1994 Violence Against Women Act, also known as VAWA, was negotiated by Vice President Joe Biden, then a senator from Delaware, and Biden has been in contact with Cantor in the efforts to come up with a new bill. The White House, which supports the Senate bill, says that among the positive changes created by VAWA are a decline in intimate partner violence by 67 percent between 1993 and 2010 and an increase in victims reporting domestic and sexual violence to police, resulting in more arrests. The Senate bill extends the act for five years and provides $659 million for VAWA programs, down 17 percent from the last reauthorization in 2005. The legislation includes a provision, backed by a bipartisan group headed by Sen. John Cornyn, R-Texas, that would speed up the analysis of DNA evidence in rape cases. There's now a rape kit backlog estimated at 400,000, with evidence that might link an assailant to a victim now sitting on police department shelves for months and even years. Provisions promoted by Sen. Dick Durbin of Illinois, the Senate's second-ranked Democrat, address sexual assault in immigration detention facilities and help ensure that child sex trafficking victims are referred for treatment rather than prosecuted as criminals. The Senate on Tuesday also approved an amendment by Leahy reauthorizing a law that funds programs to combat human trafficking both inside and country and around the world.