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Intrusion detection system is a hot spot in the researching domain of information security. The paper puts forward an intrusion detection model called LMBP. Firstly the paper does a research on different optimal algorithms of BP (back propagation) networks and then combines improved BP algorithm with Levenberg-Marquardt algorithm to device LMBP. Based on this model the LM-HIDS intrusion detection system is established. The result of the experiment shows that it is an efficient way to detect host intrusion by applying Levenberg-Marquardt algorithm to optimize BP network.