‎In this paper‎, ‎we introduce a new integer-valued autoregressive model of first order based on the negative binomial thinning operator‎, ‎where the noises are serially dependent‎. ‎Some statistical properties of the model are discussed‎. ‎The model parameters are estimated by maximum likelihood and Yule-Walker methods‎. ‎By a simulation study‎, ‎the performances of the two estimation methods are studied‎. ‎This survey was carried out to study the efficiency of the new model by applying it on real data‎.