  We show that the polarization of hyperons observed in high energy collisions
using unpolarized hadron beams and unpolarized nucleon or nuclear targets is
closely related to the left-right asymmetries observed in single spin inclusive
hadron production processes. The relationship is most obvious for the
production of the hyperons which have only one common valence quark with the
projectile. Further implications of the existence of large polarization for
hyperon which has two valence quarks in common with the projectile and their
consequences are discussed. A comparison with the available data is made.
Further tests are suggested.
