SHANGHAI — Days after Apple yanked anti-censorship tools off its app store in China, another major American technology company is moving to implement the country’s tough restrictions on online content.

A Chinese company that operates Amazon’s cloud-computing and online services business there said on Tuesday that it told local customers to cease using any software that would allow Chinese to circumvent the country’s extensive system of internet blocks. The company, called Beijing Sinnet Technology and operator of the American company’s Amazon Web Services operations in China, sent one round of emails to customers on Friday and another on Monday.

“If users don’t comply with the guidance, the offered services and their websites can be shut down,” said a woman surnamed Wang who answered a Sinnet service hotline. “We the operators also check routinely if any of our users use these softwares or store illegal content.”

Ms. Wang said the letter was sent according to recent guidance from China’s Ministry of Public Security and the country’s telecom regulator. Amazon did not respond to emails and phone calls requesting comment.