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 seven kick velocity dispersion models of \sigma _ { k } = 100 – 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 .