  We investigate the $f$-mode oscillation of the dark matter admixed hyperon
star within the relativistic Cowling approximation. The macroscopic properties
are calculated with the relativistic mean-field equation of states by assuming
that the dark matter particles are inside the star. The $f$-mode oscillation
frequencies (only for $l=2$) are calculated with four different neutron star
equation of states. We also check the effects of hyperons/dark matter and
hyperons with dark matter equation of states on the $f$-mode oscillations
varying with different astrophysical quantities such as mass ($M$), radius
($R$), compactness ($M/R$), surface red-shift ($Z_s$), average density
($\bar{\rho}$), dimensionless tidal deformability ($\Lambda$) of the neutron
star. Significant changes have been seen in the $f$-mode frequencies with and
without hyperons/dark matter or hyperons+dark matter. Substantial correlations
are observed between canonical frequencies and $\Lambda$
($f_{1.4}-\Lambda_{1.4}$) and maximum frequencies and canonical $\Lambda$ (
$f_{max}-\Lambda_{1.4}$).
