A spatial wedging friction overrunning clutch (C1-C10), comprising: at least one axially engaged traction friction mechanism revolving about an axis, said traction friction mechanism comprising at least one intermediate member and a friction member revolving about said axis and provided with a traction friction surface, the intermediate member and the friction member being abutted against each other in the axial direction to form at least one traction friction pair for transmitting traction friction torque therebetween; at least one rotation guide mechanism, which revolves about said axis and provides engagement force to said traction friction mechanism, wherein the rotation guide mechanism comprises said intermediate member and a guide member revolving about said axis and provided with a corresponding guide surface, the intermediate member and the guide member being abutted against each other in the axial direction to form a guide friction pair; characterized in that: a lead angle λ at the abutment position of the guide friction pair is greater than zero and smaller or equal to ξ, that is, 0 < λ ≤ ξ, wherein within the range of λ, a rotation tendency of the guide member relative to the friction member along two opposite circumferential directions can cause the overrunning clutch (C1-C10) to be automatically brought into an engaged situation for transmitting torque and automatically come out of the engaged situation for overrunning respectively by means of the traction friction torque, wherein ξ is the maximum value of the lead angle λ that enables a the guide friction pair formed at the abutment position to be self-locked circumferentially. at least one axially engaged traction friction mechanism revolving about an axis, said traction friction mechanism comprising at least one intermediate member and a friction member revolving about said axis and provided with a traction friction surface, the intermediate member and the friction member being abutted against each other in the axial direction to form at least one traction friction pair for transmitting traction friction torque therebetween; at least one rotation guide mechanism, which revolves about said axis and provides engagement force to said traction friction mechanism, wherein the rotation guide mechanism comprises said intermediate member and a guide member revolving about said axis and provided with a corresponding guide surface, the intermediate member and the guide member being abutted against each other in the axial direction to form a guide friction pair; characterized in that: a lead angle λ at the abutment position of the guide friction pair is greater than zero and smaller or equal to ξ, that is, 0 < λ ≤ ξ, wherein within the range of λ, a rotation tendency of the guide member relative to the friction member along two opposite circumferential directions can cause the overrunning clutch (C1-C10) to be automatically brought into an engaged situation for transmitting torque and automatically come out of the engaged situation for overrunning respectively by means of the traction friction torque, wherein ξ is the maximum value of the lead angle λ that enables a the guide friction pair formed at the abutment position to be self-locked circumferentially.