We proposed a novel code called cyclic shift (CS) code to overcome the drawbacks exists in traditional Spectral Amplitude Coding- Optical Code Division Multiple Access (SAC-OCDMA) codes that have been presented in the past few years. The proposed cyclic shift code has simple construction and large cardinality in selecting the code weight and the number of users. It also has zero cross correlation which allows it to suppress both Multiple Access Interference (MAI) and Phase Induced Intensity Noise (PIIN). Moreover, the frequency bins of the proposed code exist beside each other which reduce the number of filters needed to encode and decode the data. Therefore, the receiver design becomes simple and cost efficient. We compared the performance of our proposed code to the traditional codes and show that our proposed code gives better performance than the traditional SAC-OCDMA codes. A mathematical analysis of CS code has been derived. Simulation analysis for CS code has been carried out using optisystem ver.13.