"This is putting personal petty politics ahead of patriotism and national security, end of story. You expect this banana republic behavior in the kind of countries that the State Department warns Americans not to travel to, but not at home in the USA," Kerry said in a Twitter message.
Trump said Brennan's behavior has been unprofessional and accused him of using his status to make a "series of unfounded and outrageous allegations, wild outbursts on the internet and television about this administration."
The statement also said the security clearances of other Obama administration officials were under review, including former National Security Adviser Susan Rice, former Deputy US Attorney General Sally Yates and former Director of National Intelligence James Clapper.