In order to solve the problem of parameter identification of corrugated cardboard constitutive model and establish a constitutive equation with simple mathematical function. The sinusoidal function and tangent function were used to represent the undulating part and the compacted part of the stress-strain curve, respectively. The sinusoidal tangent function was used to construct the constitutive equation of corrugated cardboard, and the parameters in the constitutive model of corrugated cardboard were obtained by using parameter recognition software. The average relative errors between the experimental and theoretical stress-strain curves are less than 5%. Based on the stress-strain relationship of single corrugated cardboard and the original constitutive equation, the sine tangent constitutive equation is proposed. Based on sinusoidal tangent constitutive equation, parameter identification software is used to obtain the parameter results of constitutive equation. The application of this software provides convenience for mechanical application of corrugated cardboard. The number of constitutive parameters in the constitutive model is less than that in the existing literature, and the process of parameter identification in the constitutive model can be greatly simplified by using software, and the calculation efficiency is improved.