There are many reservoirs in the non-principal stress direction of crack-hole type carbonate rock reservoirs.The traditional hydraulic fracturing cracks are symmetric double-wing extended linear cracks, which is difficult for the reservoirs in the direction of non-maximal principal stress. Directional perforation and control of the hydraulic fracture propagation path are key to solving this problem. In this paper, the hydraulic fracture initiation is judged by the directional perforation fracturing and cracking model. The maximum circumferential stress criterion as a criterion for judging the turning of cracks. Combined with the measured parameters of a certain oil and gas field in the north of Shun Bei. The orientation angle, difference of horizontal geostress , perforation depth and displacement of fracturing fluid are used by Abaqus extended finite element method(XFEM). The fracturing fluid displacement and other factors affecting the hydraulic crack steering of near-wellbore expansion are numerically simulated. The results show that the orientation angle and difference of horizontal geostress are the main controlling factors for the hydraulic crack propagation. The effect of the perforation depth is controlled by the difference of horizontal geostress. The level of fracturing fluid displacement has little effect on the hydraulic fracture steering expansion.