In this paper, a novel SIRS mathematical model that addresses the control of the transmission of Malaria and Typhoid simultaneously is developed and analyzed. The next generation approach is used to determine the basic reproductive number R0 where R0 is the maximum of R1 and R2. It has been established that the disease free equilibrium is asymptotically stable using Jacobian method. Using Lynpunov function we proved that the disease free equilibrium E0 is globally asymptotically stable when R0 < 1 and the disease will always die out. For R0 > 1, E0 becomes unstable and the endemic equilibrium E* is locally and globally asymptotically stable. Therefore, malaria and typhoid fever persist.
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