  In this paper, we derive some new exact solutions of static wormholes in
$f(R)$ gravity supported by the matter possesses Lorentizian density
distribution of a particle-like gravitational source. We derive the wormhole's
solutions in two possible schemes for a given Lorentzian distribution: assuming
an astrophysically viable $F(R)$ function such as a power-law form and discuss
several solutions corresponding to different values of the exponent (here $F
=\frac{df}{dR}$). In the second scheme, we consider particular form of two
shape functions and have reconstructed f(R) in both cases. We have discussed
all the solutions with graphical point of view.
