Regression is used to predict a count-dependent variable based on several independent variables. Because the dependent variable is count, simple linear regression is not used much, and more count regressions are used, the most common of which are Poisson regression and negative binomial regression, which belong to generalized linear models. In this thesis, while examining these two models in advance, we pay attention to the models that are truncated, and we will conduct a simulation study to analyze the performance of the proposed truncated regression models against the standard models, and in this regard, we will compare these models with We will compare. Finally, a practical example with real data is provided for the application of truncated models.