We present the first observation and cross section measurement of exclusive photon pair production in proton-antiproton collisions at √ s = 1.96 TeV taken by the Run II Collider Detector at Fer-milab. We select events with two electromagnetic showers, each with transverse energy E T > 2.5 GeV and pseudorapidity |η| < 1.0, with no other particles detected in −7.4 < η < +7.4. The two showers have...