  We performed population synthesis simulations of Population III binary stars
with Maxwellian kick velocity distribution when MGCOs (Mass Gap Compact Objects
with mass 2--5$\,M_{\odot}$) are formed. We found that for eight kick velocity
dispersion models of $\sigma_{\rm k}=0$--$500$ km/s, the mean mass of black
hole (BH)-MGCO binary is $\sim (30 \,M_\odot,\,2.6 \,M_\odot)$. In numerical
data of our simulations, we found the existence of BH-MGCO binary with mass
$(22.9 \,M_\odot,\,2.5 \,M_\odot)$ which looks like GW190814.
