The properties of neutron stars are investigated by including $\delta$ mesonfield in the Lagrangian density of modified quark-meson coupling model. The$\Sigma^-$ population with $\delta$ meson is larger than that without $\delta$meson at the beginning, but it becomes smaller than that without $\delta$ mesonas the appearance of $\Xi^-$. The $\delta$ meson has opposite effects onhadronic matter with or without hyperons: it softens the EOSes of hadronicmatter with hyperons, while it stiffens the EOSes of pure nucleonic matter.Furthermore, the leptons and the hyperons have the similar influence on$\delta$ meson effects. The $\delta$ meson increases the maximum masses ofneutron stars. The influence of $(\sigma^*,\phi)$ on the $\delta$ meson effectsare also investigated.
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