A hoax caller has been put through to British Prime Minister David Cameron's phone after claiming to be the director of eavesdropping agency GCHQ.

The prime minister ended the call when it became clear it was a hoax and no sensitive information was disclosed, Downing Street said.

Security procedures are being reviewed at both No 10 and GCHQ, where a mobile phone number for director Robert Hannigan was disclosed to the caller.

A government spokeswoman said all government departments had been notified of the calls.

"Following two hoax calls to government departments today, a notice has gone out to all departments to be on the alert for such calls," she said.

"In the first instance, a call was made to GCHQ which resulted in the disclosure of a mobile phone number for the director.

"The mobile number provided is never used for calls involving classified information. In the second instance, a hoax caller claiming to be the GCHQ director was connected to the prime minister."

The spokeswoman said GCHQ and the prime minister's office "are currently reviewing procedures following these hoax calls to ensure that the government learns any lessons from this incident."