A fluid dispenser device comprising: a dose counter for indicating the number of doses that have been dispensed or that remain to be dispensed, said counter comprising: at least one rotary counter element provided with indicator means, such as digits or numbers, and provided with a first set of teeth and with a second set of teeth; a movable actuator element adapted to co-operate with said first set of teeth of said counter element so as to turn it; and anti-return means adapted to co-operate with said second set of teeth so as to prevent said counter element from turning in the direction opposite to the direction that is imposed by said actuator element; said anti-return means comprising a tip that is substantially V-shaped, and that, after each actuation of the counter, co-operates with a respective tooth of said second set of teeth in a blocking position, said tip comprising a first branch that is adapted to co-operate in the blocking position with a blocking shoulder of said tooth, and a second branch that is plane and adapted to co-operate with a plane surface of said teeth, said plane second branch and said plane surface being coplanar when said tip is in the blocking position, said tip being urged resiliently towards said blocking position so as to ensure accurate positioning of said counter element after each actuation of the counter.