A copy of the video, distributed by the US-based terrorism watchdog SITE on Tuesday, shows a series of photographs of Pierre Legrand, Daniel Larribe, Thierry Dol and Marc Furrer with armed militants standing behind them.
Over the photos is recorded an audio track that appears to be the men reading a prepared statement, on by one.
"We urge the president of the French republic, Nicolas Sarkozy, to respond positively to al Qaeda's demand he withdraw French troops from Afghanistan, as the French have really no interest in the war in Afghanistan," they say.
According to the voices, the recordings were made on April 11, 12 and 13.
Reacting to the video, France's Minister for European Affairs Laurent Wauquiez, told news network BFM-TV that Paris would "not allow its foreign policy to be dictated by kidnappers".