The present invention relates to an injection device (1) comprising: —a container (5) receiving a product, and provided with an injection needle (6), —a housing (9, 11) receiving said container, said container being movable relative to said housing between an initial position, an insertion position, and a final position, —retaining means (12, 15), for maintaining said container in said insertion position, —deactivating means (20), for releasing said retaining means, said device being characterized in that it comprises: —temporizing means (19, 26, 27), for controlling the release of said retaining means until substantially all of the product contained within said container has passed through said injection needle before said container moves to said final position, and —a needle shield (2) coupled with said housing (9, 11) removal of said needle shield being with limited or no rotation of said needle shield. The invention also concerns a kit comprising such a device.