At 5 in the afternoon, on 21 June, 1961, Cléo bursts into tears at a fortune-teller's. She's awaiting the results of a medical exam. She fears she has cancer. Cléo goes back out on the street. She buys a hat and takes a taxi home. For 90 minutes, we will be with her every instant. Her housekeeper, lover and musicians understand nothing of her anxiety.
She goes out again, alone. Fear awakens her. She begins to see others, people in the street, people in cafés, a caring friend. She goes to a park to look at trees and meets a soldier. The bond that forms between them, at this dangerous time in their lives, soothes Cléo. He accompanies her to the hospital before returning to the war in Algeria