Humza Yousaf presented equipment to a group in the East End.
The laptop was donated by city firm E Waste solutions, which recycles and refurbishes electronics, computers and surplus equipment, to Garthamlock Community Group, by the firm's owner, Zahid Raffique.
Garthamlock Community Group, which is run by mothers and grandmothers, is a local youth club for children and young adults and also offers housing and money advice sessions for adults through Greater Easterhouse Money Advice Project.
Mr Yousaf said the new computer equipment would help with allowing internet access to people who do not otherwise have it.
He said: "I was delighted when Mr Raffique approached me to say his company would like to donate more computer equipment to a worthy cause.
"Sometimes we take for granted constant internet access and having a laptop or tablet within reach - not everyone is so lucky.
"The extra laptop will help Garthamlock keep up with the demand for its IT drop-in sessions and allow people to get online to search for jobs and access online learning materials.
"It will also be used by young people to apply for college courses - all vital activities that will allow them to succeed."
The group said the equipment would help in many ways.
Rhonda Wheeler said: "A lot of people in Garthamlock do not have access to the internet, which is vital for finding and applying for jobs.
"The laptop donated can also be taken home to help people study, which is vital for those who do not have access to a computer at home but have homework to complete.
"This donation will make a big difference to the people who use our services.
"All we want to do is give those in Garthamlock the same opportunities as anyone else."
Mr Raffique said he would be donating more to community groups.
He said: "E Waste Solutions supports individuals affected by hardship or disadvantage on tackling the issues they face to make a lasting difference to their lives. Not being able to access digital resources makes it much more challenging for individuals and families to advance in school and careers, access services maintain social networks and take part in the community."