Recently, the Quantum Neural Network(QNN) is the newly appeared discipline by combining the quantum computing theory and neural network attracts attention. As a matter of fact, the quantum artificial intelligence is no more than the beginning, however the theoretical research and analysis have already been developed for the quantum associative storage, quantum state superposition and quantum parallel learning, etc, in the quantum computing ranges in the world, so the theoretical basis has been laid for development of the quantum neural computing. In this paper, we described a simulation method of quantum BP neural network constructed with multiple Control-NOT(CNOT) gates in the "Jupyter lab" using python language. This QNN consist of the multiple CNOT gates and phase control gates, and is emulated with the sequence quantum steps in the emulator. In this work, we simulated this QNN using MNIST database, and have got the same results in accuracy as the classical neural network.