The injection device has a fluid applicator that is provided with a fluid suction portion for the needle-less injection of a fluid in a biological tissue. A fluid conduit (18) is connected with the fluid suction portion. A fluid delivery device is provided with a drive device (28) which is connected with a storage unit (20). The storage unit is provided with a movable wall surface (26). The force is produced on the movable wall surface by the drive device which is provided with an energy storage element (29). An independent claim is included for a method for injection of penetrationable fluid jet into biological tissue.