The Scot urges his stars to "get down to the library and read a book" as opposed to using the social networking site and is adamant there can be issues associated with its use
A number of footballers have been involved in Twitter controversies in recent times, including Darren Bent, who was forced to apologise after offensive tweets he made towards Tottenham chairman Daniel Levy, and Ryan Babel, who was fined £10,000 earlier this year when he posted a picture of referee Howard Webb in a Manchester United shirt.
"It is responsibility. [Players] are responsible for their actions," Ferguson told reporters.
"We as a club are looking at it because there can be issues attached to it. And we don't want that."
United players Rio Ferdinand and Michael Owen are active members of the Twitter community while Wayne Rooney was alleged to have threatened a supporter on the social networking site before he later insisted he was joking.
Ferguson, though, does not see the attraction of Twitter for his players.
He added: "I don't understand it, to be honest with you. 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."