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Survivable network refers to the system that can continue to fulfill the basic services set in advance when the system faces some threats, such as external attacks and intrusions, interior errors and confusions and so on, until the system backs to normal. The most significant feature of survivable network lies in that the key services of the system can keep on running when the system is in a desperate environment. Therefore, in a survivable network, how to ensure the nonstop running of the key services becomes very important. As a technology, apart from the basic features of Agent, such as response, autonomy and target-oriented, Mobile Agent also has its own unique feature--mobility. Based on the analysis of the survivability theory and the features of Mobile Agent, this paper proposes MESMMA (A Model for Essential Services Mobility Based on Mobile Agent), a Mobile Agent mobility-based model used to ensure the nonstop running of key services of survivable networks. Besides, this paper deeply discusses the structure design, running process and various Mobile Agent functions of the MESMMA system.