The internet search giant stated that hackers recently attacked the Gmail accounts of China's human rights activists.
Although its English language site does not adhere to China's rules, the company claims that its Chinese language website Google.cn complies with local laws.
Google said the hackers only managed to attack two unidentified accounts, and accessed subject matter in the mails, and details about the creation of the mail account.
Google will discuss details of operating an unfiltered search engine within the ambit of the law, with the Chinese government. This could also mean shutting down Google.cn and its offices in China, the company said.