We have discovered two cospatial stellar disks, one orbiting prograde, one orbiting retrograde, in NGC 4550, an E7/S0 galaxy in the core of the Virgo Cluster. One of the stellar disks is coincident with a gas disk. Absorption and emission-line velocities for the two counterrotating components have been measured over about one-third of the optical diameter (30"). We propose that after the initial stellar disk of NGC 4550 was formed, a substantial amount of counterrotating gas was acquired greater-than-or-equal-to 10(9) yr ago. It then settled to the plane via dissipation; the bulk of the counterrotating stars most likely for-med after the gas settled to the plane.