  We have studied the gravitational baryogenesis in f(R) theory of gravity with
an anisotropic Bianchi I space-time. The matter field is considered to be that
of perfect fluid. Two models pertaining to specific form of Ricci scalar have
been presented. The baryon-to-entropy ratio has been derived with the some
specific form of Ricci scalar in the anisotropic background. The gravitational
baryogenesis is examined and its behaviors are studied.
