The paper presents the results of studying the dynamic structure of near-Earth orbital space in the regions of orbital resonances 1 : 4, 1 : 6, and 1 : 8 with the speed of the Earth’s rotation and studying the orbital evolution of objects moving in these regions. The action zones of five components for each of the listed orbital resonances, apsidal–nodal secular resonances and resonances with the mean motion of the third body (the Moon and the Sun) in the indicated regions of near-Earth orbital space are revealed. Distribution maps of the revealed resonances are presented. The dynamic maps of the studied areas obtained using the MEGNO indicator are presented. Areas of randomness corresponding to the overlap of resonances of different types are revealed.