IN THIS PAPER, A NEW APPROACH IN ORDER TO NUMERICALLY SOLVE THE TELEGRAPH EQUATION BY UTILIZATION OF NEURAL NETWORKS IS PROPOSED. THE MAIN GOAL OF THIS PAPER IS TO NUMERICALLY SOLVE THE TELEGRAPH EQUATION BY TAKING ADVANTAGE OF NEURAL NETWORK SOLUTION IN ORDER TO DECREASE THE NUMBER OF COMPUTATIONS AND TO INCREASE THE CALCULATION SPEED. THE PRIVILEGE OF THE SUGGESTED NEURAL NET-WORK SOLUTION IS A PRECISION OF THIS STRATEGY IN SOLVING PROBLEMS.MOREOVER, THE TRAINING OF THE USED NETWORK CAN MAKE EVALUATIONS POSSIBLE AT ANY TIME. IT IS NOTEWORTHY TO SAY THAT BY APPLYING THE NEURAL NETWORK THE REQUIRED TIME AND MEMORY FOR CALCULATIONS CAN BE CONNIVED. A NUMERICAL EXAMPLE FOR THE PROPOSED METHOD IS PRESENTED IN FOLLOWING TO CLEARLY PROVE THE ABOVE MENTIONED SUBJECT.