  Motivated by the recent interests in spin$-2$ massive gravitons, we study the
structure of neutron star in the context of massive gravity. The modifications
of TOV equation in the presence of massive gravity are explored in $4$ and
higher dimensions. Next, by considering the modern equation of state for the
neutron star matter (which is extracted by the lowest order constrained
variational (LOCV) method with the AV$18$ potential), different physical
properties of the neutron star (such as Le Chatelier's principle, stability and
energy conditions) are investigated. It is shown that consideration of the
massive gravity has specific contributions into the structure of neutron star
and introduces new prescriptions for the massive astrophysical objects. The
mass-radius relation is examined and the effects of massive gravity on the
Schwarzschild radius, average density, compactness, gravitational redshift and
dynamical stability are studied. Finally, a relation between mass and radius of
neutron star versus the Planck mass is extracted.
