The Krivine family originally came from Ukraine, having fled to France during the antisemitic pogroms of the Russian Empire in the 19th century.

[1] Krivine was one of the leaders of the May 1968 revolt in Paris, and was the last of the generation radicalised in the 1960s to serve on the political bureau of the LCR.

He was a member of the Revolutionary Communist League (LCR), which is the French section of the reunified Fourth International.

He wrote the preface for André Fichaut's 2003 autobiography "Sur le pont.

Over 2000 people attended it[4] including many left-wing and far-left figures, including: Jean-Luc Mélenchon former presidential candidate of La France Insoumise (LFI), LFI deputies Adrien Quatennens and Alexis Corbière, former LCR presidential candidate Olivier Besancenot, former NPA presidential candidate Philippe Poutou, journalist Edwy Plenel and the former militant and syndicalist Gérard Filoche.