Ferguson launched a withering attack on the social networking website amid outrage over Rooney's written threat.
Scroll down to watch Ferguson's rant on Twitter
Angry Tweets: Wayne Rooney was involved in an online altercation with a follower
The England international, one of the world's most popular players on the site, came in for late-night abuse from the follower who taunted him: 'Rooney ya fat w***e ill smash ya head in with a pitchin wedge an bury ya with a ballast fork ya fat ugly lil n***e.'
Rooney dared the follower to meet him at United's training ground to carry out his threat, and replied: 'I will put u asleep within 10 seconds hope u turn up if u don't gonna tell everyone ur scared u little nit. I'll be waiting.'
Blast: Wayne Rooney sent threats to a fellow Twitter user this week
Football's Twitter XI
Kaka 4,013,964Cristiano Ronaldo 2,952,469Ronaldinho 1,381,512Diego Forlan 1,216,063Andres Iniesta 1,141,438Rio Ferdinand 1,043,858Carles Puyol 1,006,501Cesc Fabregas 874,888Gerard Pique 774,393Sergio Ramos 714,831Xabi Alonso 653,973
* Figures as of 1pm on May 20
The 25-year-old United frontman then looked to defuse the situation by tweeting: 'Haha bit of banter and people go nuts chill all people.'
But Ferguson has hit out at his players using Twitter, insisting he does not understand why anyone would want to be involved in the first place.
'I don't understand it to be honest with you,' he said. 'I don't know why anybody can be bothered with that kind of stuff.
'How do you find the time to do that? There are a million things you can do in your life without that. Get yourself down to the library and read a book. Seriously.
'It is a waste of time. It seems to have a certain momentum at the moment. Everyone seems to want to do it.'
Ferguson certainly thinks anyone with a high profile needs to act with a huge degree of caution.
'It is responsibility. They are responsible for their actions,' he said. 'We as a club are looking at it because there can be issues attached to it. And we don't want that.'
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When it was pointed out Twitter can bring players closer to supporters, Ferguson was equally scathing.
He added: 'It would be better if they did it on the pitch.'
Rio Ferdinand and Michael Owen are prolific Tweeters, while team-mate Darron Gibson took himself off Twitter after barely two hours last month when he received abuse from United fans.
VIDEO: Ferguson on Twitter. FOOTBALL'S TWITTER HALL OF SHAME.Ryan BabelFormer Liverpool winger was first footballer to be censured after the FA fined him ?10,000 for posting a mocked-up picture of referee Howard Webb wearing a Manchester United shirt after his side's defeat at Old Trafford.
Carlton Cole West Ham striker was fined ?20,000 by the FA for his comments during England's match against Ghana. Cole tweeted: 'Immigration has surrounded the Wembley premises! I knew it was a trap! Hahahaha. The only way to get out safely is to wear an England jersey and paint your face w/ the St. George's flag!' He later deleted the tweet and said it was a 'joke'.Darren BentEngland striker landed in hot water after trying to push a move through to Sunderland from Spurs. In a blast at Tottenham chairman Daniel Levy, he wrote: 'Do I wanna go Hull City NO. Do I wanna go Stoke NO do I wanna go sunderland YES so stop f***ing around levy'
Danny GabbidonWest Ham defender was fined ?6,000 after ending his stint on Twitter by posting: 'U know what, f*** the lot of you, u will never get another tweet from me again, you just don't get it do you. Bye bye.'
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Explore more:People: Wayne Rooney, Alex Ferguson, Rio Ferdinand, Michael Owen, Daniel Levy, Gerard Pique, Sergio Ramos, Danny Gabbidon, Carlton Cole, Darren Bent, Cristiano Ronaldo, Andres Iniesta, Ryan Babel, Xabi Alonso Places: Liverpool, United Kingdom, Ghana