This paper presents a mathematical model on the spread of hand, foot and mouth disease (HFMD), scientifically known as Enteroviral Vesicular Stomatitis with Exanthem which had occurred in Sarawak. Using stochastic differential equations, the spread of the disease can be represented by the SIR model. Comparisons of the plotted graphs of the simulated and true data obtained, showed that they are almost identical within the acceptable range of numerical approximations, hence providing a new insight in modeling the spread of infectious disease such as HFMD.