This paper proposes a solution to the problem of Path Planning for a robot in a static environment consisting of obstacles using Nature inspired Algorithm. Here, in this case, we have applied a very efficient search Algorithm known as Particle Swarm Optimization Algorithm. The main focus is to minimize the length of the path taken by the robot from an initial position to target position and at the same time avoiding any obstacles that occur in the path of the robot. Particle Swarm Optimization uses different techniques of searching for the most Cost efficient path by the use of random simulations of different possible paths and comparing their costs. Simulations are achieved in MATLAB and are further demonstrated in this paper.