A medical device for the injection of a product. The device includes a body receiving an injection needle and a container containing the product to be injected an arrangement for holding the needle in an injection position an arrangement for holding the container in a position permitting injection and, a piston engaged in the container. The device also includes first and second actuators which make it possible, at the end of the injection, to respectively release the arrangement for holding the needle before, or simultaneously to, the release of the arrangement for holding the container. A container support is mounted slidably on the body and is displaceable relative to the latter in order to perform the injection. The container support is held in a standby position before injection with the needle being held in the injection position.