A linear correlation between the bond orders and stretching force constants of bonds, which appears to have general application, is derived on the basis of a potential energy functioll previously used by Pauling i n a correlation of C-C bond length with bond order. The relationship is shown to be consistent with predicted bond orders and experimentally detertnined force constants of C-C, C-0, S-Ti, and N-0 bonds.The possible effects of anharmonicity and resonance energy on the force constant and equilibrium C-C bond distance are considered for the case of the benzene molecule, and it is concluded that the best agreement with experiment is obtained if we postulate a low degree of anharlnonicity and allow for the change of resonance energy with bond distance.