In allusion to solving the dumping and down slide problems of the hydraulic supports in the 2313 full-mechanized coal face with large inclined angle in Geting mine, based on the geological and mining conditions, the strike and dip mechanical models of hydraulic support were established and analyzed. The results show that, under condition of no-restriction on the top of support, Anti-toppling and anti-skid measures of hydraulic supports should be taken in mining face with a dip angle more than 16 degree, furthermore, in 2313 face, the method of sliding advance of support should be done, and the minimal residual support force is 223kN in the process of advancing supports. The main basis for selecting hydraulic supports and the key influence factors of the dumping and down slide of supports were analyzed and compared, and the ZF4200/16/26 support was selected but it needs to be reformed. After applying supports with three technology improvements in 2313 face, the percentage of unstable supports reduces from 50% to 0%, the average height of roof caving reduced 75% and the depth of rib fall, 50%. So the safe and high-efficiency exploitation is achieved in the large inclined full-mechanized coal face with an average coal inclined angle of 36 degree and the maximum inclined angle of 51 degree.