The hand based human identity verification and identification is an emerging era for the access control from last decades. Generally, an accurate system is designed by using more than one modality such as shape, geometry and texture information of hand, finger and palm which require more computation. In this paper, the authors have proposed an efficient and robust approach for identity verification using only the shape of the hand. They encoded the shape information in two ways i.e. distance and orientation. Wavelet decomposition is applied to capture the most judicial feature description and to reduce the dimension of both distance and orientation coding. The score level fusion is applied to both the scores obtained using wavelet decomposition of distance and orientation coding for genuine and imposter matches. Finally, false rejection rate and true acceptance rate is computed from the fused genuine and imposter scores. The performance of the introduced mechanism is tested over a hand dataset of 50 subjects. The experimental studies point that good verification performance can be achieved by using only the shape features of the hand with low computational complexity.