Abstract: According to gas-geological research, an early-warning model of coal and gas outburst was built based on the stick-slip and catastrophe theory. In the model, gas factors and geological factors were considered as control variables of coal and gas outburst early-warning and were classified to the corresponding early warning indexes, then the coal and gas outburst grades of danger were determined and their warning index limits were divided.Fuzzy mathematics was used to deduce the mutation fuzzy membership function, and the catastrophe series, which can reflect the outburst, was worked out by means of choosing the corresponding mutation model. An example of Yuwu Coal Mine of Lu'an Environmental Energy Development Co., Ltd. verified the feasibility of this early-warning model.