Solidliquid extraction of resveratrol and viniferin from grape cane samples was described by using first-order kinetic model, Peleg's model, two-site kinetic model and modified Gompertz equation. Goodness of fits of the models were evaluated by comparing the adjusted determination coefficient and root mean square error and mean percentage error values. Although the two-site kinetic model with four parameters described the data better, Peleg's model, with only two parameters, could explain the data with a slight loss of goodness of fit. The modified Gompertz equation showed the worst performance for describing the solidliquid extraction of stilbenes. PRACTICAL APPLICATIONS The present study introduces the comparison of well-known models applied to explain extraction kinetic of stilbene compounds of grape cane and to determine the best model with its justifications. Mathematical models provide information about the system and/or process to which they are applied. In design and/or process application stages, any information about that process and/or system has crucial importance because in the decision stages, this know-how helps the designers and researchers find the best design parameters and the most effective process conditions to optimize purposes. Mathematical models are accepted as the most economical ways for these purposes.