The show, which is due to air next week, stars Stephen Mangan as the former Prime Minister Tony Blair.
The story focuses on what happens when Blair goes on the run after being accused of murder for his part in the Iraq War.
The programme has been shot in black and white and is said to be a pastiche of film noir.
A photograph of Jennifer Saunders playing Margaret Thatcher has already been released.
Other stars taking part in the project include Robbie Coltrane, Inbetweeners star James Buckley, Harry Enfield, Nigel Planer, Ross Noble and Rik Mayall.
Comic Strip: The Hunt For Tony Blair will air on October 14 on Channel 4.