The publisher of the Daily and Sunday Telegraph is thought to have seen off challenges from three other national newspaper groups, including Independent Print, to win the two-year contract.
The student application body did not disclose the value of the contract, which is put out for competitive tender every three years.
The loss is likely to be a blow to The Independent as, according to a source, the Ucas partnership makes up between a third and a half of overall annual classified revenue. But classifed revenues have declined rapidly at national newspapers in recent years.
The Independent has recently diminished its education output, and .
But Ann O'Neill, classified advertising director, The Indepdent, The Independent on Sunday, said the titles remained committed to reporting on and investing in education.
She said: "The education landscape has changed considerably since 1991 and it is time for a different approach. However, The Independent will remain totally committed to guiding young people through their educational journey via award-winning editorial and new publications."
TMG will publish clearing vacancies throughout the UK in August, when A Level results and other qualifications are released.
Mark Skipworth, executive editor of TMG, who oversees The Daily Telegraph's Saturday edition, said: "Education has been a significant focus for us in editorial over the past few years and this is an exciting step forward for the Telegraph."
Jo Redfern, commercial director at Ucas, said: "We are confident that working with the Telegraph will best position us to continue to provide national expose to information about clearing vacancies and other aspects of the HE admissions process that applicants rely on us for."
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