This study presents a method for rapidly estimating energy density based on the energy difference of chemical bonds， along with a technique for promptly evaluating cage structural stability by integrating Laplacian bond order and the bond dissociation energy of molecular fragments. By exhaustively constructing all nitrogen-rich frameworks derived from Noradamantane and its 435 nitro derivatives， the study applied the aforementioned computational methods to screen molecular structures with high energy density and stability. The reliability of the screening results was confirmed through quantum chemical energy calculations and transition state reaction barrier calculations. Two nitro compounds exhibiting both high energy density and structural stability were identified， with theoretical maximum values of detonation heat， detonation velocity， detonation pressure， and metal acceleration capability reaching 7.77 kJ·g^-1， 10.1 km·s^-1， 47 GPa， and 1.14 times the metal acceleration capability of HMX， respectively， and with structural decomposition reaction barriers ≥96 kJ·mol^-1. The rapid screening method for energy density and stability of energetic molecules established in this study can provide theoretical guidance for the future design of high-energy stable energetic molecules.