"Today's vote is a significant milestone in the bipartisan quest to end animal abuse and protect our pets," Deutch said in a written statement reported by CBS News. "This bill sends a clear message that our society does not accept cruelty against animals. We've received support from so many Americans from across the country and across the political spectrum. Animal rights activists have stood up for living things that do not have a voice."

Animal welfare groups celebrated the bill's passage.

"The watershed vote takes us one step closer to a federal anti-cruelty statute that would allow the FBI and other federal law enforcement agencies to arrest and prosecute those who commit such unspeakable crimes against innocent animals," Humane Society Legislative Fund President Sara Amundson and Humane Society Chief Executive Kitty Block wrote in a joint statement.

The bill now has to pass the Senate, but Buchanan told The New York Times he thought its chances were good.

"We are optimistic it will pass the Senate, which has already supported the bill in two previous sessions of Congress," he said.

The PACT Act builds on legislation signed by former President Barack Obama in 2010, which banned crush videos that showed animals being tortured. In some videos described by The New York Times, women were shown stepping on rabbits with spiked high heels.

But that legislation did not provide the federal government with the means of prosecuting wrongdoing that was not caught on camera, Amundson and Block explained.

"The PACT Act will remove that loophole by prohibiting these acts when they occur on federal property, such as federal prisons and national parks, regardless of whether a video has been produced," they wrote. "It would also allow federal authorities to crack down on animal cruelty that affects interstate or foreign commerce, including moving animals across state lines or information exchanged on websites that allows animal exploitation such as bestiality to occur."