The raft of measures could amount to the biggest shift in U.S. policy toward shipping technology to China since the 1990s.
If effective, they could hobble China's chip manufacturing industry by forcing American and foreign companies that use U.S. technology to cut off support for some of China's leading factories and chip designers.
The rules published on Friday also block shipments of a broad array of chips for use in Chinese supercomputing systems.
"The U.S. should stop the wrongdoings immediately and give fair treatment to companies from all over the world, including Chinese companies."
On Saturday, China's foreign ministry spokesperson Mao Ning called the move an abuse of trade measures designed to reinforce the United States' "technological hegemony".