But the top US military officer, General Richard Myers warned that there were "still a lot of tough fights ahead".
Control of the airport is important for a number of reasons:
It shows everyone how close the soldiers are to Baghdad
They can also use it to fly in supplies for the troops
It can be re-named Baghdad International, a big dent in Saddam Hussein's control
It will be much more difficult for Saddam Hussein to escape Iraq by air
Around 1,000 US troops were used in the mission, while there are reports of 320 Iraqis being killed.