The foundation settlement is a nonlinear dynamic system development process, and based on the fact, "the self-memorization principle of the dynamic system" is introduced to predict the soft soil foundation settlement accurately. Taking a nonlinear ordinary differential equation derived from the bilateral difference principle as a dynamic kernel, a soft soil foundation settlement based self-memorization model is constructed and applied to the Shan-Fen Expressway soft foundation settlement prediction. It is shown that with the introduction of the self-memorization principle, the soft soil foundation settlement prediction can be improved in the accuracy and the range of applications, which provides a new way to predict the soft soil foundation settlement.