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The demands of elder care and long-term care are increasing as the population of elder persons is increasing. However, nursing personnel of an elderly care center have to take care of many elders in some countries. A falling accident may occur without notice by the personal in the night. It caused the problem of lawsuit or compensation. Behavior analysis of an elderly on the bed is useful to solve the above problem. A method is proposed and a prototype is developed by utilizing Kinect depth sensor in this paper. A state diagram is defined to model the behavior. When two states, sitting on the bed and getting out of bed, are detected, a siren can be issued to remind the nursing personnel for preventing the possible accident. The Kinect depth sensor can be operated in the dark environment and enables the system can monitor the behavior of an elder all the time. In addition to the dangerous behavior, all the possible behaviors can be monitored by the prototype for providing any further services. A set of testing videos with various scenarios is used to evaluate the performance. The experimental results show that the proposed method can analyze the behaviors of an elderly with high correction rate.