Slur on MP by 'nutters'.
The leaflet has been distributed in Bradford, Leeds and Dewsbury, the MP said.
On one side is a photo of US president Barack Obama with lipstick on his face with the words: "You can put lipstick on a pig but it's still a pig, and the USA will still be the USA."
On the other side there is a photo of Mr Malik side-by-side with a dog.
The leaflet also says the UK Government has misbehaved over Gaza.
The Justice Minister said: "The leaflet is pretty disgusting. I often get this sort of thing but I suppose you have to rise above it.
"If the chap was so concerned about Gaza he could have turned up to the meetings I have had on the issue in my constituency but instead he has tried to malign me in this cowardly way.
"The only positive thing about it is that he also has a go at Barack Obama, so I suppose I am in pretty good company."
DOGGED: Dewsbury MP Shahid Malik