The device (1) has a housing (8) for a container (50), containing a product, moving between initial and insertion positions relative to the housing, where the container movement is prevented and allowed to start from the initial position, when the container is in passive and active states, respectively. A safety shield (10) coupled to the housing is moved between two positions, in which a needle point is not extended beyond a distal end of the shield. The shield is provided in the active state at an end of a needle insertion step before which a product/medicament injection step is not started. An independent claim is also included for a kit for product/medicament injection device.