The invention refers to a drug delivery device (2) comprising a housing (2.1) capable of receiving and containing a container (syringe 3) and a needle safety device (1). The needle safety device (1) comprises a needle cap (5.1) arranged to cover and protect a needle (4), a needle shield (6) relatively movable with respect to the housing (2.1) to cover and protect the needle (4) and a needle cap remover (7). The needle cap remover (7) has an outer part (8) adapted to be arranged to the housing (2.1) and to cover the needle shield (6) and partly the housing (2.1) and an inner part (9) adapted to be arranged to the needle cap (5.1).