Huawei Chairman Liang Hua has expressed willingness to sign "no-spying" agreements with the United States and European governments, a measure critics deem insufficient because China's cybersecurity law would override any agreement signed with foreign governments or corporations.
"China's main export is espionage, and the distinction between the Chinese Communist Party and Chinese "private-sector" businesses like Huawei is imaginary", Republican Senator Ben Sasse said.
The US is also pushing other countries not to use Huawei's equipment in 5G networks.
According to a White House statement, Mr Trump's order aims to "protect America from foreign adversaries who are actively and increasingly creating and exploiting vulnerabilities in information and communications technology infrastructure and services". Reuters reported in December that Trump was still considering issuing the order and other media reported in February that the order was imminent.
Huawei did not immediately respond to a request for comment.
The order does not specifically name any country or company, but US officials have previously labeled Huawei a "threat" and actively lobbied allies to not using Huawei network equipment in next generation 5G networks.
Mr Trump had already barred the U.S. government from use of Huawei equipment, but has now extended that to all USA companies. USA prosecutors have indicted the company on charges of trade-secret theft and had Canada arrest a key executive on sanctions charges.
Last week, the U.S. Federal Communications Commission barred China Mobile Ltd. from the U.S. market over national security concerns and said it was opening a review of other Chinese companies.
Ms May fired defence minister Gavin Williamson - one of the cabinet's big critics of China - earlier this month over a leak alleging that her government will allow Huawei to play a limited 5G role.
The issue has taken on new urgency as USA wireless carriers look for partners as they roll out 5G networks.
At a hearing Tuesday, U.S. senators raised the alarm about allies using Chinese equipment in 5G networks.
The UK, however, didn't impose a complete ban on Huawei but the country said that it has strict controls for how Huawei's equipment is deployed.
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