The mechanical property of MLCP(short for multilayer corrugated paperboard) with different flutes which exhibit the typical corrugated sandwich structure under various strain rates is investigated in this paper. Comparing with the static flatwise compression, the dynamic plateau stress of MLCP increases apparently due to the different mechanism of deformation during the impact process. The method of Cowper-Symonds under intermediate strain rate is utilized to construct a model in which the flute configuration and strain rate are concerned with the corporation of theory and experimental data. As a result, the plateau stress of MLCP will be on a rise with the increasing of strain rate. The prediction of the dynamic plateau stress of MLCP from the model proposed after being normalized by the elastic modulus of the corrugated medium shows certain accuracy. Meanwhile, the normalized model is valuable to the investigation of mechanical properties of other materials of corrugated sandwich structure.