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Oscillations with a period of two Cr monolayers were measured in the antiferromagnetic exchange coupling between Fe magnetizations separated by Cr. The coupling was measured on a sample consisting of a Au(20 A)/Fe(50 A)/Cr(0-18 A wedge) film deposited by a molecular-beam epitaxy on a Fe[lOO] single-crystal "whisker." The Cr and Fe grew monolayer by monolayer as monitored by reflection high-energy-electron diff'raction. The coupling was determined from the magneto-optic Kerr effect. It was antiferromagnetic for 5-18 A Cr with four strong peaks and a maximum value of -0.60 mJ/m^ for eight monolayers of Cr.