Abstract: In order to have the mechanical-hydraulic coupling rigidity characteristics of the hydraulic powered support,an analysis was firstly conducted on the structure dynamics of the hydraulic powered support and the Jacobian matrix to represent a mapping relationship of the driving system between the input rigidity and output rigidity was obtained.Thus the relationship between the mechanical-hydraulic coupling rigidity and the hydraulic parameters of the hydraulic cylinder,the powered support structure type parameter sand attitude parameters of the hydraulic powered support were provided.With the different location point on the canopy selected,the variable parameter calculation was conducted on the horizontal,vertical and rotary directional rigidities of the powered support with the variation law of each parameter.The result showed that the vertical rigidity of the powered support was determined by the leg rigidity mainly and the rotary rigidity of the powered support was depended on the rigidity and the action location of the balance hydraulic cylinder.Relative to the attitude parameters of the powered support,the hydraulic parameters of the hydraulic cylinder and the structure type parameters of the powered support has a high influences to the rigidity of the powered support.Those results could provide the basis to the modeling on single element stability evaluation of the hydraulic powered support and could improve the stress state of the hydraulic powered support applied in the coal mining face.