In order to analysis shopping basket data better, mine potential customers, sequential pattern minging emerged.Sequential pattern mining is an important research content of data mining and has been widely used in many fields in recent years. We summary sequential pattern mining development situation at present, research classical algorithm based on basic mining framework and algorithm based on extension model, Especially describe the new data form sequential pattern mining appeared in recent years and the algorithm based on zero compression binary decision figure (ZBDD), Finally prospect the sequential pattern mining development trend.