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In cloud computing environment, it is common for a multi-component application to be deployed into the IT infrastructure on demand. Although the Application Component Placement Problem or ACP has been studied both in the academy and industry for some years, so far these approaches all rely on a centralized node to collect the information about the network topology and hosts of the targeting environment so that it can make the optimized decision. In cloud environment, computing resources are shared by many applications and the IT infrastructure is dynamically changing, which makes collecting the dynamic information of the environment a more difficult task. In addition, when two or more clouds are involved in the deployment, there may exist privacy concern between different clouds so that a centralized approach cannot be applied. In this paper, we propose a distributed approach to solve the ACP problem. In our approach, we transform the ACP into a Distributed Constraint Optimization Problem or DCOP and solving the ACP becomes solving the DCOP. The detail of the algorithm and experiments are given.