We have observed the deflection of Rydberg atoms towards a metallic surface by the van der Waals force. Cs and Na atoms in states of principal quantum number n were sent between two parallel gold-coated mirrors; spaced by a gap w (2.1 μm ≤w≤8.5 μ m). We measured the value n m at which the transmission cuts off and from the variation of n m versus w ; we obtained a measure of the atom-surface interaction. For 12 < n < 30 this interaction is 3 – 4 orders of magnitude larger than for ground-state atoms; and it obeys the scaling laws of the Lennard-Jones model.