Clapper's Office of the Director of National Intelligence confirmed the hack but refused to provide details.
"We are aware of the matter and we reported it to the appropriate authorities," spokesman Brian Hale told AFP.
A teen hacker who goes by "Cracka" claimed to have hacked Clapper's home telephone and Internet accounts, his personal email, and his wife's Yahoo email, online magazine Motherboard reported.
Cracka told Motherboard that he had changed the settings on Clapper's Verizon account so that calls to his home were rerouted to the California-based Free Palestine Movement.
Cracka is part of the "Crackas with Attitude" group, which broke into Brennan's personal email account last year.
Hackers from the group have said they are teenage high school students.
Back in October, a teenaged hacker broke into CIA Director John Brennan's personal email account and swiped sensitive files including a top-secret application for a security clearance.
Shortly after, WikiLeaks posted material from what appeared to be CIA Director John Brennan's personal email account, including a draft security clearance application containing personal information. The material presumably was taken in a compromise of Brennan's email account by a hacker, who claimed he posed as a Verizon employee and tricked another employee into revealing Brennan's personal information.
Written with agency inputs