The state-of-the-art equipment has been bought due to a donation of £2,000 by British Telecom.
Molly Owen Centre manager Patrick McLaughlin in thanking BT for its generosity said it meant the centre was able to update and expand its system.
John Burnett, who is president of Tavistock and District Mencap, was delighted to be at the ceremony. He was joined by a gathering of invited local dignitaries which included West Devon Mayor Margaret Garton, Tavistock Town Mayor Roger Mathew, Devon County Councillor Roy Cook, regional chairman of the Lords Taverners' Associaition Keith Hollinshead and Tavistock Times Gazette editor Colin Brent.
'It is difficult for me to exagerrate the profound admiration I have for Patrick, his staff and their students. It is a mark of the good work done at the centre that it is so well known in the West Country,' said Mr Burnett.
He also praised former BT employee Jim Bellamy, whose 35-year-old son Simon attends the centre, for doing so much to raise the money.
'The reason he moved back to Tavistock was because of the Molly Owen Centre — and that just goes to show what a fantastic place it is,' said Mr Burnett.
'I'm delighted to open this facility — and I hope to be the first student!'
Mr Burnett and fellow guests were then shown the equipment and how it worked by students Angela Kuchenbecker, Andrew Trigger, Pat Bulley and Sally Austin.
In charge of the computer suite is David Johns. He said the new equipment — two computers, a digital camera, printer and range of software and hardware — was taking them forward from the previous facilities.
'The tutors use it for educational purposes and the students are using it so they can have skills as well as also enjoying it,' said David.
'We have a wonderful programme called 'Goo' — you can take a picture and give people big noses and ears! They learn how to use mice and it teaches them dexterity. There are various options from using mice to touch-screens.'
Patrick McLaughlin said it had been excellent having people take such an interest in the equipment at the centre.
'We have had a lot of support from the community of Tavistock.
'The equipment has been excellent for the students. They were interested before and this has boosted it,' he said
"The digital camera allows them to produce something vivid and in colour.'
He said about 15 to 20 students were involved in the computers — some having individual tuition while others were able to work together in groups of two or three.
'The facilities are there for a whole range of abilities.'
In fact, the students are so well switched on to the web that they are currently in contact with a family in Tavistock, Canada.
Could be a few more Tavistocks around the world might be contacted soon.
Jim Bellamy said BT was always keen to assist the disabled.
'In that knowledge I wrote to the managing director telling him of my careeer in BT and how I'd been happy for 48 years with the company.
Jim and his wife Yvonne feel the Molly Owen Centre is one of the finest places of its kind in the county — if not the south west.
'In my letter I said the Molly Owen Centre could do with some updated computer equipment — and by return post we got a cheque for £2,000. It was wonderful.'
Jim said that when Simon comes home he tells them he has been on the internet.
'It gives him and the other students self respect to be able to do something normal. The big thing about this place is the variety of activities here.
'They do trampolining, cook their own lunch, pottery, gardening, computing — the activities that are here are terrific for self-respect.
'We moved here 20 years ago so Simon could go to the Molly Owen Centre — and it is the best move we have ever made.'