Because of the complexity involved, most researchers avoid studying the entropy generation due to both convection and radiation. In this study, the heat transfers from the horizontal heated cylinder by natural convection and radiation and the entropy generation is the case study and the ability to combine of these two heat transfer methods depending on the thermodynamic principles. Three heating horizontal cylinders were used during this study. The results indicated that the natural convection is effective parameter to produce the entropy generation when the ratio of Ra/Ra, opt lower than 1 and the Ns increased slightly to 3 at Ra/Ra, opt=0.001, but when the radiation is the effective parameter to produce the entropy generation that is done when Ra/Ra, opt higher than 1 and the Ns increases to 200 at Ra/Ra, opt=1000.