Set in 1967 Paris, the film follows the famous director Jean-Luc Godard as he grapples with the reception of his latest film, "La Chinoise." Though he is a well-respected figure in the cinema world, Godard faces sharp criticism and skepticism about his work and ideas, leading him into a period of self-doubt. His relationship with Anne Wiazemsky, a young actress who starred in "La Chinoise" and has recently become his wife, adds another layer of complexity. Anne is supportive yet often caught between Godard's increasing radicalism and her desire for a more traditional, fulfilling life. Their personal and professional lives intertwine, driving them both into a complex web of love and artistic struggle.

As political and social upheavals shake France, Godard becomes increasingly absorbed in leftist ideologies, distancing himself from mainstream cinema and those close to him. His passionate involvement in student protests and revolutionary activities deepens, but it also isolates him and strains his marriage to Anne. The couple faces growing tensions as Anne seeks her own identity beyond being Godard’s muse. The narrative depicts their journey through turbulent times, examining themes of love, creativity, and ideological conflict.