Robot Forward kinematic equations' analysis is an essential and important manner to analysis the position and orientation of the end effectors of a robotic manipulator, where in this paper, Denavit-Hartenberg notation and method (D – H) is used to represent the relative kinematic relationships precisely between each two adjacent links of this robot , besides a kind of artificial neural network (ANN) which is known as the supervised learning training sets network is investigated to solve the problem of kinematic analysis of this laboratory five - axes robot, it shows that the using of the artificial intelligence method which is the neural networks had offered the facility of dealing with this non linear robotic system by a simple manner with acceptable faster solution as compared with the traditional forward kinematic equations analysis method .