The effect of poultry slaughterhouse waste (PSHW) on various loads (0.5, 1, 1.5, 2, 2.5, and 3 g VS/L) on mesophilic anaerobic digestion (AD) in semi continuous mode is assessed in this study. The impact on stability parameters (pH, Alkalinity (Alk), and volatile fatty acids (VFA)) was significant at substrate concentrations varied between 0.5 and 2 g VS/L. The best value of the organic loading rate (OLR) of 0.91 g VS/L.d was visualized for the load of 2.5 g VS/L and the methane yield (YCH4) was 242.6 Nml/gVS. Mathematical modeling was employed to investigate the methane production from AD of PSHW. Various models, including Modified Gompertz (MGompertz), Logistic function, First order, Transference function, and Chen and Hashimoto model, were utilized in the exploration. The optimum model is the logistic function; for a 2 g VS/L, the difference between the experimental and predicted methane production was 0.4%.The optimal value of the coefficient of determination (R2) for logistic function is identified as 0.9946 at a loading of 2.5 g VS/L.