  A modified quantum kinetic equation which takes account of the noninertial
features of rotating frame is proposed. The vector and axial-vector field
components of the Wigner function for chiral fluids are worked out in a
semiclassical scheme. It is demonstrated that the chiral currents and
energy-momentum tensor computed by means of them are consistent with the
hydrodynamical results. A new semiclassical covariant chiral transport equation
is established by inspecting the equations satisfied by the chiral vector
fields. It uniquely provides a new three-dimensional semiclassical chiral
kinetic theory possessing a Coriolis force term. The particle number and
current densities deduced from this transport equation satisfy the anomalous
continuity equation and generate the magnetic and vortical effects correctly.
