official site for visitors to Bratislava  

If you want to play sport there are, as you would expect, several recreation centres and swimming pools in the city.  This site (in Slovak, but with an easy-to-navigate map with symbols) is a good place to find one, and check prices and opening hours.

There is also horse-riding, rafting and a network of paths suitable for running and cycling in and around the city.  The best are along the Danube River and in the forested hills above the city.

If you want to watch, football and ice hockey are the main winter sports. Bratislava will co-host the 2011 Men's Ice Hockey World Championships (with Košice, in eastern Slovakia) and the main stadium is currently being  rebuilt. Tennis is popular in the summer.  There is a horse-racing track in the Petržalka district.