In this project, we investigate an epidemic model for the dynamics of cholera infections. The model consists of four compartments; the susceptible population( ), infectious population ( ), the recovered population( ) and the environment that serves as a breeding ground for the bacteria ( ). We conducted an analysis on the existence of all the equilibrium points; the disease free equilibrium and endemic equilibrium. The reproduction number ( ) was computed by using Next generation matrix approach. Disease free equilibrium was found to be locally asymptotically stable if the reproduction number was less than one ( ). The most sensitive parameter to the basic reproduction number was determined by using sensitivity analysis. A numerical simulation of the system of differential equations of the epidemic model was carried out for interpretations and comparison to the qualitative solutions. The findings showed that as the number of infectious population increases, the number of susceptible human decreases in the system.