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An experimental design method is proposed to guide the selection of specimen dimension and split Hopkinson pressure bar apparatus. This method is applicable to the woven composite with modulus independent of strain rate. This method can predict the maximum specimen dimension at the desired strain rate under the maximum strike velocity of the apparatus. Based on the proposed design method, the in‐plane dynamic compressive behavior of 2D plain weave carbon/aramid hybrid composite was obtained. The strength exhibited sensitive to strain rates. The nonlinear constitutive model described the dynamic constitutive relationship effectively. The distribution of delamination failure significantly influenced the final failure shape of the specimens through the high‐velocity camera. Microscopic observations indicated that carbon fiber yarns and aramid fiber yarns exhibited different fracture modes. Highlights: An experimental design method applicable to woven composites in dynamic tests.Negative correlation between strength and strain rate of hybrid composites.The validity of the nonlinear constitutive model to dynamic property.The effect of hybridization and strain rates on damage modes. [ABSTRACT FROM AUTHOR]