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Three Dimensional WSN is common in application areas such as space monitoring, cave monitoring, study of under water eco system and so on. Intrusion is a common type of attack in case of WSN. It spends lot of energy for the purpose of intrusion detection which in turn reduces the life time of the network. Energy efficiency is essential in this process. Therefore we derive an algorithm for energy efficient external and internal intrusion detection for 3D WSN. We also analyze the probability of detecting the intruder for three dimensional WSN. It is found that our experimental results validate the theoretical results.