Motion planning of redundant robot manipulators is one of the most challenging problems encountered in the field of robotics. The conventional approaches usually have a singularity problem in the motion planning. In this paper, an alternative to the conventional approach is proposed, using a forward kinematic and optimization technique. Different from the conventional approach, the inverse of the Jacobian matrix is not used in the proposed method. The robustness of the proposed method with regard to geometrical singularity is demonstrated by the planar robot.