Determining the critical slip surface of a fractured rock slope remains a major challenge. This study proposes a new method to determine the critical slip surface of fractured rock slope by comprehensively considering fracture characteristics. First, 2D fracture network of main sliding surface is simulated according to the characteristics of fractures on exposed rock surface. Then, potential slip surfaces between different entry and exit points on the main sliding surface are searched by Floyd algorithm. Finally, persistence, i.e. the percentage of total fracture length to the length of potential slip surface, is applied to evaluate the final critical slip surface. According to the above method, the final critical slip surface of a case study was determined, which show that the coordinates of the entry and exit points of the critical slip surface for the fractured rock slope are (62, 86 m) and (14, 30 m), respectively, with the persistence of 85.27 %.