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In this paper,we study soliton-cnoidal wave solutions for the reduced Maxwell-Bloch equations.The truncated Painlevé analysis is utilized to generate a consistent Riccati expansion,which leads to solving the reduced Maxwell-Bloch equations with solitary wave,cnoidal periodic wave,and soliton-cnoidal interactional wave solutions in an explicit form.Particularly,the soliton--cnoidal interactional wave solution is obtained for the first time for the reduced Maxwell-Bloch equations.Finally,we present some figures to show properties of the explicit soliton-cnoidal interactional wave solutions as well as some new dynamical phenomena.