Malik announced the government's plan to lift the ban on YouTube and Twitter tonight.
"I chaired a high level (meeting with) all stakeholders on the (YouTube). (Good) job by PTA (to) block anti-Islamic material! (Please expect YouTube) unblocked in 24 hrs," he said in a tweet.
He acknowledged in another tweet that there was a "great demand to unblock (YouTube) from all sections of society", especially users of Twitter.
"Expect the notification today! Hope u r all happy now," he said.
Prime Minister Raja Pervez Ashraf had in mid-September directed authorities to block YouTube for hosting "blasphemous material", including clips from the movie 'Innocence Of Muslims'.
The film triggered violent protests by right wing groups across Pakistan and the government itself sanctioned a day of protests on September 21, which was observed as "Love the Prophet Day".
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Twenty-three people were killed and property worth billions of rupees was destroyed during these protests.
The Express Tribune newspaper criticised the government for continuing with the ban on YouTube in an editorial today.
"The original excuse for the ban