The aim of this work was to study the dropping impact dynamics of a package system with single degree of freedom considering the effect of friction. Considering two dry friction models, the constant friction model and the cubic nonlinear friction model, the effects of friction parameters in the two dry friction models on the maximum acceleration and displacement response were analyzed. The result showed that the effect of Coulomb dry friction on the response of the product could be ignored. When the stiffness of the cushioning material was low, the cubic nonlinear dry friction model had a certain effect on the maximum acceleration and displacement response of the product. The larger the fiction constant r, the higher the product response frequency and the shorter the response cycle. The friction effect could not be ignored under this condition. The effects generated by analysis with different friction models were different, this provides some theoretical reference for the study on package dropping impact response considering the friction effect.