Aiming at the problem that the non-linear system with non-uniform sampling is difficult to control due to external disturbance, a model-free adaptive quasi-sliding mode control algorithm is proposed by using data-driven strategy.Firstly, the parameter estimation error of pseudo-Jacobian matrix in the process of system dynamic linearization is regarded as an external disturbance.Secondly, the controller of the dynamic linearization model is designed by using sliding mode control.The algorithm is characterized by utlizing the inherent characteristics of sliding mode control to reduce the influence of external disturbance on the control function of the system, which effectively improves the control effect.Analysis is made on the stability of the control algorithm, and the effectiveness of it is verified by simulation of a discrete-time nonlinear system with non-uniform sampling.