Microsoft Corp.'s Xbox Live and Sony Corp.'s PlayStation Network, the Internet services video gamers use to play online, have been hit by connection failures on Christmas Day, with the hackers Lizard Squad claiming responsibility.

The group, which took responsibility for an attack on Sony this year, said on its Twitter account that it was behind the attacks. The group said it would "stop hitting" the services if users called attention to the hack by retweeting its statements.

Thursday's incidents are part of a series of escalating attacks against Sony. This month, a group called Guardians of Peace claimed responsibility for hacking into the Tokyo-based company's servers, destroying data, exposing Hollywood secrets, and forcing Sony's movie studio to cancel the nationwide theater release of The Interview, a comedy about a fictional assassination of North Korean leader Kim Jong Un. Instead, Sony released the movie online and on the Xbox network. Both hacking groups had threatened further disruptions on Christmas Day.

Users are having difficulty signing into their online accounts and Xbox is working to fix the problem, according to an alert on Xbox Live's website. The PlayStation Network, used to connect Sony's gaming consoles, is experiencing similar issues.

"We are aware that some users are experiencing difficulty logging into the PSN," Sony Computer Entertainment America said on its website. "We will update this article with any changes that occur in regards to this issue."

An e-mail and voicemail to David Dennis, a spokesman for Redmond, Wash.-based Microsoft, were not immediately returned. Messages to Jennifer Clark and Sean Yoneda, representatives for Sony, were not immediately returned.

Last week, President Obama blamed North Korea for orchestrating the attacks against Sony and vowed to respond. North Korea has said it doesn't know the identity of the hackers claiming responsibility for breaking into Sony's computer network. The country's connection to the Internet was also disrupted this week.