The academic institution is 51st in the world in the latest QS World University Rankings, rising from 54th place, last year.
Strathclyde Univer-sity has risen from 257 to 254 in this year's list.
The news revealed today has been wel-comed by university boss Anton Muscatelli and education minister Michael Russell.
Professor Muscatelli, the principal and vice chancellor at Glasgow University said he was delighted.
He added: "The QS World Rankings are significant as they confirm the reputation of Glasgow as a world leading research intensive university.
"In the context of recent Scottish Govern-ment funding ann-ouncements, this is a very pleasing result for the University of Glasgow."
The QS World Ranking are released annually by the careers network comparing the world's top universities. The Massachusetts Institute came top.
Glasgow's climb up the league table follows the announcement of an extra £5million from the Scottish Funding Council and the univer-sity to boost research.
MSP Michael Russell said he recognised the contribution of staff and students to the university's success.
He said: "We welcome the University of Glasgow's success in achieving its highest ever QS world ranking.
"This reflects the impact of our long-term support of exceptional research at the university."
Meanwhile, new research by Glasgow University has found the first evidence that television programmes can accelerate language change. The research, published in American journal Language, looked at how watching the soap EastEnders is changing parts of the Scottish accent.
Linguists at the university found two features of pronun-ciation typically associated with London English that were becoming increasingly apparent in the Glaswegian dialect among people who regularly watched the soap.
The features in question are using 'f' for 'th' in words such as think or tooth, and a vowel like that in good in place of 'I' in words such as people.'
The results show a link between using these features with strong emotional and psychological engage-ment by the viewers of this program.