The video, obtained by The Sun, shows the Respect MP having a 20-minute meeting with Saddam's eldest son in an Iraqi palace in 1999. In the video, Mr Galloway is seen to greet Uday, shaking his hand twice and calling him "Excellency".
He jokes about losing weight, going bald and failing to give up smoking cigars. Mr Galloway also orders watching journalists not to publish parts of their conversation. Finally, according to the paper, he taunts the United States and vows to stick with Uday "until the end".
The video was shot for an Iraqi TV station and was smuggled out of Iraq before the regime fell.