The boss of the tech giant has observed that the misuse of "deeply personal" data is being "weaponised against us with military efficiency".
He continued: "We shouldn't sugar-coat the consequences. This is surveillance."
Cook subsequently praised the EU's GDPR, which has placed stricter rules on how data is being used.
During a speech in Europe, he said: "This year, you've shown the world that good policy and political will can come together to protect the rights of everyone.
"It is time for the rest of the world, including my home country, to follow your lead.
"We at Apple are in full support of a comprehensive federal privacy law in the United States."
Apple is a long-time advocate of privacy protection, but Professor Mark Elliot at Manchester University has claimed that Cook should have gone even further in his statement.
He told the BBC: "The implication of fully functioning privacy in a digital democracy is that individuals would control and manage their own data and organisations would have to request access to that data rather than the other way round."