As of April 25, the Pentagon ordered that these and related products be removed from its stores worldwide, according to Pentagon spokesman Major Dave Eastburn.
"These devices may pose an unacceptable risk to the department's personnel, and mission," Eastburn said.
The action followed a series of US moves aimed at stopping or reducing access by Huawei and ZTE to the US economy amid allegations the companies could be using their technology to spy on Americans.
Representative of Huawei and ZTE could not be reached immediately for comment, though both have denied allegations that their products are used to spy.
The Pentagon noted in its comments to Reuters that in February 2018, the Director of National Intelligence, the heads of the FBI, CIA, and National Security Agency, Defence Intelligence Agency, and National Glossarial Intelligence Agency testified before the US Senate that Huawei products pose a potential security risk to users.