A downlink beamforming design is proposed in multicell multi-input single-output downlink networks with limited backhaul signaling. In the proposed scheme, the beamforming vector at each base station (BS) is designed to minimize the sum of its weighted generating interference with local channel state information and the aid of information exchange between the BSs. The generating-interference weight coefficients are designed in pursuit of increasing the sum rate. Simulation results show that the proposed scheme outperforms the existing scheme in the mid-to-high signal-to-noise ratio regime even with much reduced amount of information exchange via backhaul.