The Monte Carlo Method has been applied to study the properties of the ground state of the four nucleon system. The wave function of the nucleon is assumed to contain the Jastrow factor, which Is due to the correlation of the other nucleons in the system. The variational constants of the wave function have been calculated by Zabolitzky and Kalos.Jn this article, we have used the wave function quoted above to calculate the binding energy of the system, its root mean square radius, the density distribution of the nucleon and the form factor.The result of our calculation indicates that the Monte Carlo Method can be used to study the properties of the ground state of the nuclear system. It requires to do further work to ensure that this method can be used to study other properties of the nucleus such as the properties of the excited states, the nuclear transitions, etc.