  In an $SU(3)_{c}\times SU(2)_{L}\times SU(2)_{R}\times U(1)_{B-L}$ left-right
symmetric framework, we present a new leptogenesis scenario parametrized by
Dirac neutrino mass matrix. Benefited from the parity symmetry motivated to
solve the strong CP problem, the dimensionless couplings of the mirror fields
are identified to those of the ordinary fields. In particular, the mirror Dirac
neutrinos have a heavy mass matrix proportional to the light mass matrix of the
ordinary Dirac neutrinos. Through the $SU(2)_R$ gauge interactions, the mirror
neutrinos can decay to generate a lepton asymmetry in the mirror muons and an
opposite lepton asymmetry in the mirror electrons. Before the $SU(2)_L$
sphaleron processes stop working, the mirror muons can efficiently decay into
the ordinary right-handed leptons with a dark matter scalar and hence the
mirror muon asymmetry can be partially converted to a desired baryon asymmetry.
