The statical problem of an elastic stamp on a nonlocal elastic half-plane is solved. The starting point is the solution of the problem of a rigid stamp on an elastic half-plane. This solution is given in the appendix. The classical solution of the elastic stamp is obtained by making appropriate changes in the classical solutions of the rigid stamp. The classical and nonlocal problem of elastic stamp has not yet been solved in the literature. The nonlocal solution of the problem is carried out by using the classical solution. The classical solution gives infinite stresses at the tips of the edges, but the nonlocal solution produces infinite stresses nowhere. This situation is shown by several diagrams. (C) 1997 Elsevier Science Ltd.