Loud explosions have also been heard in the centre of the city. BBC reporters there reckon it's some of the heaviest bombardment yet and much bigger bombs are being used.
Earlier, a Tomahawk cruise missile was fired at Iraq's Information Ministry in Baghdad.
Lots of journalists work there and much of their equipment was destroyed.
The attacks come just a day after a massive explosion at a busy marketplace in the Shula district.
Iraqi officials claim a US cruise missile hit the market, killing 58 people.
But US officials say they are still trying to find out what happened.
Iraqi TV has been showing upsetting hospital pictures of people they claim were hurt in the blast. Iraqi officials say the Information Ministry was bombed by the coalition to stop pictures like this being shown.
If the figures are right, it will the biggest number of civilians killed in a single incident so far in the war.
Other main points:
- Iraq claims they are responsible for a suicide car bomb which killed four US soldiers near Najaf, and promises more attacks like it
- President George W Bush says the Iraqi Government "controls only a small portion" of the country
- A fifth UK soldier is missing, feared dead, in a "friendly fire" incident in southern Iraq
- The US has bombed a building in Basra where they believe 200 special soldiers loyal to Saddam Hussein were
- US officials deny a report that coalition forces have decided to take a break in their march to Baghdad because of supply problems.