This paper considers the stabilization of random Boolean networks. We first give a survey on the semi-tensor product approach to Boolean (control) networks, which is a new technique developed by us. Particularly, the stability and stabilization of Boolean (control) networks are reviewed. Then, under the same framework, the topological structure of the random Boolean networks is investigated and revealed. Using it the stabilization of random Boolean networks is considered. A sufficient condition is provided. A stabilizer design method is proposed.