  We investigate the mass-radius relation of neutron star (NS) with hyperons
inside its core by using the Eddington-inspired Born-Infeld (EiBI) theory of
gravity. The equation of state of the star is calculated by using the
relativistic mean field model under which the standard SU(6) prescription and
hyperons potential depths are used to determine the hyperon coupling constants.
We found that, for $4\times 10^{6}~\rm{m^2}~\lesssim~\kappa \lesssim~6\times
10^{6}~\rm{m^2}$, the corresponding NS mass and radius predicted by the EiBI
theory of gravity is compatible with observational constraints of maximum NS
mass and radius. The corresponding $\kappa$ value is also compatible with the
$\kappa$ range predicted by the astrophysical-cosmological constraints. We also
found that the parameter $\kappa$ could control the size and the compactness of
a neutron star.
