The film's director, Cyrus Nowrasteh, has dedicated the screening to Sakineh Mohammadi Ashtiani currently facing execution by stoning or hanging in Iran for adultery.
Amnesty International UK director Kate Allen said: "The final scenes of The Stoning Of Soraya M are quite horrific and many viewers might want to turn away. I'd urge them not to.
"This is the cruel reality of execution by stoning; watch, be enraged, and take action to stop this inhumane practice.
"The case of Sakineh Mohammadi Ashtiani has been taken up by people all over the world, who have protested and written letters to the Iranian authorities urging them to stop her execution by any method.