  We consider the stellar oscillations of relativistic stars in the
Eddington-inspired Born-Infeld gravity (EiBI). In order to examine the specific
frequencies, we derive the perturbation equations governing the stellar
oscillations in EiBI by linearizing the field equations, and numerically
determine the oscillation frequencies as changing the coupling parameter in
EiBI, $\kappa$, and stellar models. As a result, we find that the frequencies
depend strongly on the value of $\kappa$, where the frequencies in EiBI with
negative $\kappa$ become higher and those with positive $\kappa$ become lower
than the expectations in general relativity. We also find that, via the
observation of the fundamental frequency, one could distinguish EiBI with
$8\pi\epsilon_0|\kappa|\gtrsim 0.03$ from general relativity, independently of
the equation of state (EOS) for neutron star matter, where $\epsilon_0$ denotes
the nuclear saturation density and $\epsilon_0\kappa$ become dimensionless
parameter. With the further constraints on EOS, one might distinguish EiBI even
with $8\pi\epsilon_0|\kappa|\lesssim 0.03$ from general relativity.
