A dry shaver with a swingable shaving head which is capable of following a user's skin smoothly while keeping an optimum pressing relation with the skin. The shaver includes a grip and a shaving head mounted on top of the grip. The shaving head has a cutting face on its top and has a pair of support points through which the shaving head is supported to the grip. A linkage mechanism is provided to couple the shaving head to the grip for allowing the shaving head to swing relative to the grip. The linkage mechanism includes a pair of cranks each connected at its one end to each one of the support points and connected at the other end to each one of the anchor points on the side of the grip. A frame projects on top of the grip in an overlapping relation with the shaving head to give the anchor points which are positioned upwardly of the support points with respect to a height axis of the grip for suspending the shaving head on top of the grip by the frame. Accordingly, the shaving head is enabled to swing only accompanied with a small vertical displacement of the cutting face from the skin, but with a sufficient angular displacement of the cranks about the anchor points, thereby keeping an optimum contacting pressure against the skin, yet swinging the shaving head to smoothly follow the skin.