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In this paper we put forward a kind of secure LEACH routing protocol (SC-LEACH) based on low-power cluster-head selection algorithm. This protocol gets the total number of all nodes by their collaboration in selecting, to precisely calculate the present thresholds with which the cluster-heads is generated. Consequently, the probability of producing optimal cluster-heads in each round is the biggest, and the variance is the smallest, thus the network reaches its optimal energy cost. The adoption of pre-shared key pair dispatch improves the security of the routing effectively. Comparing with the LEACH protocol using symmetric keys dispatch, the simulation validates the effectiveness of SC- LEACH.