This paper presents a nonlinear dynamical epidemic model to study the Measles-Covid-19 coinfection. The human population is partitioned into seven distinct compartments, enabling the examination of the interplay and propagation of both diseases within the population. Understanding the behavior of complex biological systems requires a significant focus on investigating the biological well-being of mathematical models, in order to gain insights into the systems by establishing numerous important properties such as bounded solutions, positive invariance, the dependence of solutions on initial data, etc. Following the calculation of the basic reproduction numbers for the Measles and Covid-19 sub-models further analyzes the stability conditions of stationary points. It has been observed that when the reproduction number is below unity, the existence of the disease-free equilibrium is ensured, and it is locally asymptotically stable otherwise, unstable. To enrich our model, we provide a graphical representation and use ODE 45 solver from MATLAB’s toolbox for numerical simulation. The result showed that reducing contact rates about coinfection transmission can effectively reduce their spread.