Abstract: The methane deflagration fracturing technology impacts and fractures the reservoirs and generates the complicated fracture network by the high-pressure and high-temperature gas, which is generated from the deflagrations of methane desorbed from in-situ reservoirs with the aid of combustion improver. It is important for improving the methane deflagration construction technology to realize the fracturing characteristics of rocks under the effect of deflagration loading. To overcome the difficulties of singularity and meshing-dependence in traditional numerical calculation methods for calculating the crack propagation problems of deflagration fracturing, based on the assumption of small deformation, the bond force vector in the ordinary state-based peridynamic model is rebuilt by using the peridynamic differential operator. The surface effect and volume correction in the classical ordinary state-based peridynamic model are avoided. Then the ordinary state-based peridynamic model of the rock fracturing under the effect of methane deflagration loading is built. The effects of the increase rate, decrease rate of deflagration loading, and the geo-stress distribution on the failure pattern are analyzed. The results show that, the distribution of geo-stress has a significant impact on the crack propagation characteristics of deflagration fracturing. The direction of the initial maximum stress is the dominating direction of crack propagation for the methane deflagration fracturing. With the decrease of the lateral pressure coefficient, the maximum fracturing radius of methane deflagration also increases, but the crack number and the total damage value decrease obviously. With the increase of the methane deflagration pressure increase rate, more initial cracks were generated around the wellbore and the formed initial radial cracks bifurcate and form circumferential secondary cracks, but the fracturing range of methane deflagration decreases. The initial cracks for methane deflagration fracturing mainly be formed during the pressure increase stage. The pressure in the decrease stage is mainly used for propagating the formed initial cracks. The fracturing range of methane deflagration increases with the decrease of the pressure decrease rate. The research results have a good guiding role in optimizing the boreholes layout and improving the fracturing effects for methane in-situ deflagration fracturing.