A rotating member of a dental clamping apparatus is movably connected to a body and disposed in a through hole. A hole diameter is located on an inner side of a clamping member and is corresponding to an elastic abutting slope. The clamping member is movably connected to the rotating member. A first blocking member disposed in a first blocking hole is engaged with an annular groove so as to rotate the rotating member relative to the body. A second blocking member disposed in a second blocking hole is engaged with an axial track so as to move the clamping member along an axial direction relative to the body. The rotating member is rotated relative to the body to axially move the clamping member. The elastic abutting slope is abutted against an annular slope so as to resiliently deform the clamping member to change the hole diameter.