The paper aims to research quantification method of using U corrugated board to design the cushioning package. By establishing finite element models of U corrugated boards with different relative density, the stress-strain data and energy volume stress data of corrugated boards at different compression speeds were obtained. The density equation and strain rate equation were obtained by fitting data. With the increase of density, the corrugated maximum allowable stress also increased; from the point of view of unit volume, the maximum allowable stress for corrugated board of different density was linear; the fitting equation of strain rate and relative density equation had been proved to be convenient for cushioning packaging design efficiently. The fitted strain rate equation and correlation density equation are convenient, fast and efficient. It reduces the error caused by look-up table method, and has certain significances in actual production.