Kaspersky spokesman Alejandro Arango said: We are investigating and engaging in conversations with Chinese authorities about this matter. It is too premature to go into any additional details at this time.
The report comes after Beijing late last week updated a public website that lists technology vendors whose goods are approved use for use by the nation's massive central government. It was not immediately clear if agencies were being advised to avoid other non-Chinese products.
The report is the latest sign that Beijing is intent on promoting use of domestic information technology products after leaks from former National Security Agency contractor Edward Snowden raised concerns about foreign surveillance programmes. Tensions between Washington and Beijing have also risen this year after the US indicted Chinese soldiers on cyber espionage charges.
Symantec last month said it was in talks with authorities following reports that China had banned use of one of its products, data loss prevention software. At the time a Symantec spokeswoman said that there was no indication of a ban on the company's flagship anti-virus software programs
The company does not break out sales in China.
Revenue in its Asia Pacific region dropped 10% to $1.2 billion in its most-recent fiscal year, which ended in