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Hardware implementation by Networks on Chip (NoC) for Artificial Neural Network (ANN) was proposed to improve. In this work, a new architecture of NoC which has a hardware implementation of routing algorithm is proposed for ANN design. This routing strategy could reduce the packet size of header. The NOXIM NoC simulator is used to simulate the proposed system in term of latency, throughput and power consumption. The experimental results indicate that the proposed new NoC architecture is effective in increasing throughput and reducing latency and power consumption, compare with the traditional one. The ANN with the new NoC architecture could achieve higher performance and lower communication load.