  In this paper, we first review some aspects of the f(R) gravity and then the
concept of torsion of space-time due to metric-affine formalism in f(R) gravity
is studied. Within this formalism in which the matter action is supposed to
dependent on the connection, we achieve to interesting cases including non-zero
torsion tensor. Then with the physical interpretation of torsion of space-time
in high energy limit, the modified expression of Mach's principle in a very
strong gravitational region is obtained.
