A series of cyclic energetic derivatives based on nitroguanidine and 1,1-diamino-2,2-dinitroethene were theoretically designed. The spatial structures, infrared spectrometry, heats of formation, electronic structures, detonation properties, and thermal stabilities of these designed compounds were fully investigated by density functional theory. It is found that all the designed compounds have moderate stabilities (bond dissociation energies range from 11.3 to 99.0 kJ mol-1), high crystal densities (from 1.9589 to 2.00188 g cm-3), high positive heats of formation (from 649.6 to 1060.8 kJ mol-1) and high positive heats of detonation (from 1074.77 to 1332.06 cal g-1) which lead to the excellent detonation properties (detonation velocities range from 8.71 to 9.05 km s-1 while detonation pressures range from 35.47 to 38.55 GPa). Electronic structures such as electrostatic potentials on the surface, electronic densities, highest occupied molecular orbitals, lowest unoccupied molecular orbitals and their energy gaps were also simulated to give a better understanding of chemical and physical properties of these compounds. All the data may shine lights on the explosive searching and synthesis.