The experments about anomalous scaling of the factorial moments in nuclear- nuclear collisions show that in the final state higher-dimensional phase space, the log- log plot of the factorial moments versus partition number seem to show a stmngly upward bending. Taking into account that the nuclear-clear collision is mixture of many elementary collisions, we give an explanation for the above phenomenon. A random cascading model is set up based on the above view point and the Monte Carlo simulation fits the expedmental phenomenon qualit...