There are various existing solution for solving the XOR problem in Artificial Neural Network. Even the author in his previous work has proposed several solutions to the problem. In this paper we will see a new solution to the XOR problem. The author has given a brief introduction to the Artificial Neural Network concept. Discussion on linear separablility and non-linear separability is made. Fixation of the non-linearly separable problem is made. A solution to the non-linearly separable problem i.e. XOR problem is proposed. Architectural Graph and Signal Flow Graph proposing the final solution to the problem is given. Mathematical explanation to the solution is given.