Thousands are now without Internet access.
The ban is just the latest in a long line of communications technology the group has outlawed.
They are, however, keeping their own radio channel active.
A recently uncovered email cryptically suggests that NSA data may have been used in planning a 2008 missile strike.
Twitter users in the country are employing the hashtags #WeThePeople and #WeNeedAnswers to mark the conversation.
The account, @HSM-Press, has since been suspended.