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A co-design scheme of static period quantized scheduling and the state feedback controller for a class of networked control system with limited bandwidth and fixed time delay using mid-tread uniform quantizers is proposed in this paper. Through allocating bandwidth, the quantized scheduling strategy and feedback controller design are considered simultaneously. The quantized measurement signals are dealt with by utilizing the sector bound method, in which the quantization error is treated as sector-bounded uncertainty, and the NCS is modeled as a discrete-time switching system with parameter uncertainties. Based on the Lyapunov function and period switching system theory, a design procedure for feedback controller under this strategy is given to maintain the asymptotic stability of closed-loop system.