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We investigate the $f$-mode oscillation of the dark matter admixed hyperonstar within the relativistic Cowling approximation. The macroscopic propertiesare calculated with the relativistic mean-field equation of states by assumingthat the dark matter particles are inside the star. The $f$-mode oscillationfrequencies (only for $l=2$) are calculated with four different neutron starequation of states. We also check the effects of hyperons/dark matter andhyperons with dark matter equation of states on the $f$-mode oscillationsvarying 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 neutronstar. Significant changes have been seen in the $f$-mode frequencies with andwithout hyperons/dark matter or hyperons+dark matter. Substantial correlationsare observed between canonical frequencies and $\Lambda$($f_{1.4}-\Lambda_{1.4}$) and maximum frequencies and canonical $\Lambda$ ($f_{max}-\Lambda_{1.4}$).

Impacts of dark matter on the $f$-mode oscillation of hyperon star