A shaving apparatus is provided which comprises a housing having a shaving head carrying an external shaving member with hair-entry apertures and an internal shaving member which is coupled to a motor in the housing and which is drivable relative to the external shaving member with a combined movement, the combined movement comprising an oscillatory rotation about an axis of rotation of the internal shaving member and a reciprocating movement in the direction of the axis of rotation. The internal shaving member is provided with a support which is flexible in the direction of the axis of rotation but which is stiff in directions transverse to said direction of the axis of rotation, and the support rotatably supports an internal shaving-member holder which is coupled to the motor. The external shaving member is secured to a frame and is movable relative to the shaving head against spring force in a direction transverse to the axis of rotation, the frame and the shaving head being provided with corresponding guide means.