Her group has worked with YouTube (owned by Google) on the issue and hopes Facebook will also be responsive to their concerns.
"Once they provide a forum, they need to step up and provide mechanism, such as terms of service that are enforceable to take down hate," she said.
That Facebook has taken down two Holocaust denial groups is insufficient, she said.
Rabbi Abraham Cooper, Associate dean of the Simon Weisenthal Center, an International Jewish human rights group, said his group commends Facebook for having policies that prohibit hate speech and violence on its site.
"Facebook has over 200 million users and I would say I think Facebook is making a good faith effort at trying to address these issues," he said, adding that he met with Facebook earlier this year to discuss the matter.
Still, he said that as it and other social networking sites grow, online hate speech continues to multiply as well.
On Wednesday, his group will unveil its annual report on online hate speech that shows that social networking is fueling the proliferation of hateful Web sites, videos, online groups and chat groups. He said they found more than 10,000 online examples of sites that promote racial violence, anti-Semitism, homophobia and terrorism.
Cooper said he was not surprised that Facebook shut down two Holocaust denial groups but hopes they continue to look into it.
"We're not the thought police," he said. But, "giving them a freebie in the commons that is Facebook, we believe crosses the line and we hope they'll continue their review."