Abstract In this research work, Mathematical Model for Measles Transmission Dynamics in Luweero District of Uganda, SVEIR model was developed and analyzed. The model consists of five non liner ordinary differential equations. The effective reproductive number, (the number of secondary infections when a single effective individual is introduced into a population where a proportion is protected) was obtained. Further the disease free and endemic equilibrium where obtained and analyzed for stability. Numerical simulation of the various state variables where obtained using mat lab software. And it shows that the vaccination is capable of reducing the number of susceptible when the coverage is high.