“The Burj Dubai is expected to be finished by the end of 2008 and its planned final height has been kept secret. The state-owned development company Emaar Properties, one of the main builders in rapidly developing Dubai, said only that the tower would stop somewhere above 2,275 feet.

When completed, the skyscraper will feature more than 160 floors, 56 elevators, luxury apartments, boutiques, swimming pools, spas, exclusive corporate suites, Italian fashion designer Giorgio Armani’s first hotel, and a 124th floor observation platform.”

According to the article the previous answerer referenced (above), at the time of its writing (July 22), the Dubai Tower was still 40 metres shorter than the CN Tower.

There is a lot of argument (and rivalry) as to what counts as a “building” and which height should be measured. eg: spires count but antenna do not, and that buildings still under construction shouldn’t be considered. I’d suggest considering the broadest picture. Hope that helps.