Bath University says a rise in students applying means it is already full this year, and won't be taking on students through clearing.
The university says more students have opted to have Bath as their first choice.
Thousands of pupils are opening their results today, and those who are disappointed may be relying on clearing to secure a place at university.
Bath is the only university other than Oxford and Cambridge to be full already.
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Hotter again on Monday with temperatures up to 25 degrees. Cooler on the coast and on the Isles of Scilly.
A clear night, hotter again on Monday.
Highs this afternoon of around 23 or 24 degrees. Cooler on the coast.