The US and the UK think that the report shows Iraq has no plans to disarm, and are trying to get other countries in the UN to agree with them.
But those other countries - including important ones France, Russia and China - want the inspectors to be given more time to search for weapons.
Ideally the US and the UK would like United Nations support before they started military action against Iraq, but have also made it clear they don't consider that support essential.
Important dates to come
On the 31 January Tony Blair and US president George Bush will have an important meeting, and another report from the inspectors is due on 27 March.