MOSCOW (AP) — In its latest attempt to wrest control of the Internet, Russia's communications agency on Tuesday threatened to block access to Facebook if the company refuses to store its data locally.

Alexander Zharov, chief of the Federal Communications Agency, told Russian news agencies on Tuesday that they will work to "make Facebook comply with the law" on personal data, which obliges foreign companies to store it in Russia. Critics have slammed the law, which went into effect in 2015, for potentially exposing the data to Russian intelligence agencies.

Zharov said that the Russian governme...