This work proposes a close form solution algorithm to solve the inverse kinematics for a five degree of freedom (DOF) robot manipulator, close form solution is preferable to numerical solutions because analytical ones yield complete solutions and are computationally fast and reliable. The motion path of a robot arm is calculated using the geometric analysis. The proposed algorithm is verified using developed simulation modules. Computer simulation is conducted to demonstrate accuracy of the proposed algorithm to generate an appropriate joint angle for reaching desired Cartesian coordinate. The algorithm has been tested yield fair, which have also compared with the robot arm's actual reading.