We report the observation of dijet events with a Double Pomeron
Exchange topology produced in p anti-p collisions at s**(1/2) = 1800 GeV.  The
events are characterized by a leading antiproton, two jets in the central
pseudorapidity region, and a rapidity gap on the outgoing proton side.
Results on kinematics, production rates, and comparisons with corresponding
results from single diffractive and inclusive dijet production are
presented.