The lm() function in R’s stats package is commonly used for fitting linear regression models, but cannot be used for periodic coefficients regression models proposed by Regui et al. (2024). Similarly, the perARMA package is not designed to model relationships between independent and dependent variables with periodic coefficients regression models. To address these limitations, we present a new R package, PerRegMod, designed specifically for fitting periodic coefficients linear regression models. PerRegMod provides a test to detect periodicity of parameters of regression model and proposes the least squares estimator (LSE) for estimating periodic coefficients linear regression parameters. This paper shows the performance of periodic coefficients regression model compared with S-multiple regression model.