Ordinary differential equations (ODEs) play a vital role in engineering problems. They are used to model continuous dynamical systems as initial and boundary value problems. There are several analytical and numerical methods to solve ODEs. Various numerical methods such as Euler’s method, Runge-Kutta method, etc are so popular in solving these ODEs. MATLAB, the language of technical computation developed by mathworks, is gaining importance both in academic and industry as powerful modeling software. SIMULINK®, is a tool in MATLAB for simulating both continuous and discrete dynamical systems. In SIMULINK®, we can simulate the behavior of a system by representing the system in terms of a block diagram with interconnections between the blocks and there by simulate its behavior over certain period of time. The study of ODEs has variety of applications in disciplines like aerospace, electronics, communication, medicine, finance, economics, and physiology. In this article, the technique of modeling and simulation of first order differential equations in SIMULINK, which can be further extended to higher order systems, is discussed.