The device includes:a tubular endoprosthesis with a central axis, and a release system including a capsule defining an inner volume receiving the tubular endoprosthesis in its contracted condition. The capsule is displaceable with respect to the tubular endoprosthesis along the central axis between a position for covering the tubular endoprosthesis and a position for releasing the tubular endoprosthesis.The device includes a mechanism for opening the capsule able to be maneuvered in the covering position in order to have the capsule pass from a closed configuration for retaining the tubular endoprosthesis to an open configuration radially expansed for releasing the tubular endoprosthesis. The tubular endoprosthesis is able to be kept at least partly retracted in the inner volume upon passing of the capsule from its closed configuration to its open configuration.