We have observed the molecular outflow associated with the HH 111 opti
cal jet at 6 '' resolution in the CO J = 1-0 transition using the Berk
eley-Illinois-Maryland Millimeter Array. Both the CO kinematics and mo
rphology indicate a striking hollow tubular structure surrounding the
optical jet. The velocity component parallel to the jet increases with
distance from the central star more rapidly than the component perpen
dicular to the jet. The data place constraints on jet-driven models fo
r molecular outflows. The kinematics and structure are consistent with
recent wide-angle, radial wind models.