The list of banned social media sites include Facebook, Twitter, WhatsApp, Signal and Viber.
Mr. Benjamin was also tortured to death.
The U.S.-based internet corporation has come under widespread criticism for the increasing censorship of its users.
The Administration has also sought to gag the free speech through its many attempts to introduce social media bill.
“We have made this decision to block these two websites (Facebook and Twitter) from being accessed from our network,” it added.
The new policy however does not apply in EU, since it violates data protection laws.
They were illegally detained for days before they were later arraigned on charges of breach of public peace.
The Buhari administration has persevered in its long-standing quest to censor the social media in Nigeria.
Some argue that these companies were wielding too much power that could be used to target causes unjustly.
The activists were arrested on January 1 for staging a peaceful demonstration against bad governance and rising economic hardship in the country.
