A shutter device for a front grille of a vehicle including a structure and at least two flaps coupled in a pivoting manner to the structure. An actuator and a transmission mechanism coupled to the actuator are configured to transmit the movement of the actuator to the flaps to carry out a sequential opening of the at least two flaps. According to one embodiment the transmission mechanism includes one gear for each of the at least two flaps, each gear comprising a drive wheel coupled to the actuator and a driven wheel coupled to the respective at least two flaps. Each of the drive wheels and driven wheels includes a notched part and a blocking part that are distributed differently to cause a sequential opening and/or closing of the at least two flaps.