Measurement of the transverse polarization of Λ0 (ˉΛ0) in the e+e− continuum at centre-of-mass energies near 10.58 GeV. The polarization is measured as a function of the momentum fraction and transverse momentum. The polarization is also measured for events with a π± or K± in the opposite hemisphere as a function of the momentum fractions of the Λ0 and charged meson.The polarization as a function of the momentum fraction for Λ0 baryons produced in (uds) events, and for prompt Λ0 and those from the decay of Σ0 mesons is also measured.