In multi-cell cellular system, users suffer from inter-cell interference coming from neighboring cells, particularly at cell boundary. Base station (BS) cooperation is a promising technique to mitigate inter-cell interference for users located at cell-edge area and currently under discussion for further releases of the 3GPP Long Term Evolution (LTE) system. In this paper, using BS cooperation approach, we propose an inter-cell interference coordination technique to mitigate the intercell interference in multi-cell cellular network. Coordinating BSs cooperatively choose their antenna weights based on requested information from users to compromise between reducing the inter-cell interference to neighboring cell-edge users and maximizing received signal power to its own users to achieve maximum network sum-rate. Simulation results show that average sum-rate of multi-cell cellular system is increased by our proposed method particularly when users are located at cell-edge area.