The invention relates to a device and a method for recording data on a recording medium. The invention relates to the implementation of the timeshift function in a part of said recording medium called the timeshift buffer memory having a size defined in terms of recording capacity. For the timeshift buffer memory, a first threshold defines a capacity limit, a second threshold defines a recording time limit. The device records the data in the timeshift buffer memory as long as the second threshold is not reached and when the second threshold is reached before the first threshold, the processor truncates the start of the timeshift buffer memory when the data being read are not located at the start of the buffer memory or moves to reading the data of the timeshift buffer memory when the data being read are located at the start of the timeshift buffer memory.