We present in this work a new multi-objective cooperative coevolutionary algorithm based on SPEA2 (called CCSPEA2). In this algorithm, we split the solution chromosome into 4 different parts of the same size, and 4 islands are optimizing every single partial solution by using SPEA2. For evaluating the solutions, the islands are sharing their best partial solutions. As a result, CCSPEA2 outperforms SPEA2 in most of tested problems.