While using Poisson and negative binomial models in the framework of GLMs, the risk factors that appeared to explain significantly the frequency of claims was the age-group and occupation of policyholders, the type, use and GPS device of vehicle, the bonus-malus coefficient and duration of the insurance policy. Based on the obtained results, we observed a decrease of claim frequency along with an increase of the insurance contracts duration, and also an increase of the frequency of claims along with the increase of bonus-malus coefficient. For these variables, there were obtained results which are similar with other actuarial studies and also consistent with the reality of the studied phenomenon.