A method for tone-mapping a High Dynamic Range (HDR) data video stream encoded in MPEG format, the method comprising decoding the data video HDR data stream to generate decoded I-frames, auxiliary decoded data related to P-Frames, and auxiliary decoded data related to B-Frames, the method further comprising applying a tone mapping function to each decoded I-Frame to provide a tone-mapped I-Frame according to a tone mapping operator, for each P-frame depending on a reference I-frame, computing the tone-mapped P-frame from the tone-mapped I-Frame previously determined for the reference I-frame, the reference I-Frame, and the auxiliary decoding data related to the P-Frame; and, for each B-frame, computing the tone-mapped B-frame from the tone mapped I-frame previously determined for the reference I-frame, the tone mapped P-frame previously determined for the reference P-frame, and the auxiliary decoding data related to the B-Frame.