This paper proposes a design method of dynamic quantizers for MIMO networked control systems. It is well known that feedback type dynamic quantizers are effective for quantization of the data series in the meaning of noise shaping. The dynamic quantizers include a set of a dynamic filter and a static quantizer. When it is required to use the quantizer under the network communication, the data size of signal should be minimized appropriately by the quantizers. The authors have proposed a design method of the dynamic quantizers for SISO systems based on the communication rate constraint. In this paper, the design method is extended to MIMO systems. By this extension, we can handle the communication rate constraint for a kind of concentrated systems. In the setting of the quantizer for MIMO system, bit assignment is important matter for appropriate design of information flow. The effectiveness of proposed design method is shown by numerical examples.