Should the British bid be successful it would see London host the Paralympics too.
The Games were last held here in 1948, although the country has unsuccessfully bid to host the them lots of times since then.
A 2012 Olympic bid has been rumoured for a while, and at the start of the year the government were supposed to discuss it, but the war in Iraq delayed that.
The bidding process takes a long time, and other cities are also hoping to host the Games, including New York, Leipzig in Germany, Havana in Cuba and perhaps Paris and Madrid.