  We investigate the Affleck-Dine mechanism when multiple flat directions have
large values simultaneously. We consider in detail the case when both $LH_u$
and $H_uH_d$ flat directions are operative with a non-renormalizable
superpotential. In case Hubble induced A-terms are present for these two flat
directions, their initial values are determined completely by the potential and
there are no ambiguities how they are mixed. Moreover, CP is violated even when
the Hubble parameter is large due to the Hubble induced A-term and cross
coupling in F-term, so that the lepton asymmetry is generated just after the
end of inflation. As a result, compared with the case of single flat direction,
the resultant lepton-to-entropy ratio is enhanced by a factor of
$H_{osc}/m_{3/2}$, where $H_{osc}$ is the Hubble parameter at the onset of
oscillation and $m_{3/2}$ is the gravitino mass. However, when Hubble induced
A-terms do not exist, there remains indefiniteness of initial phases and CP is
violated spontaneously by the phase difference between initial phase and
potential minima of the hidden-sector induced A-terms. Therefore, CP-violation
is not effective until the onset of the oscillation of scalar fields around the
origin and there is suppression factor from thermal effect as is the case of
single flat direction. In this case, the amplitude of baryon isocurvature
perturbation imposes constraints on the model parameters.
