Theoretical calculations are performed to study the nature of the hydrogen bonds in complexes HCHO…HNO, HCOOH…HNO, HCHO…NH3, HCOOH…NH3, HCHO…NH2F and HCOOH…NH2F. The geometric structures and vibrational frequencies of these six complexes at the MP2/6-31+G(d,p), MP2/6-311++G(d,p), B3LYP/6-31+G(d,p) and B3LYP/6-311++G(d,p) levels are calculated by standard and counterpoise-corrected methods, respectively. The results indicate that in complexes HCHO…HNO and HCOOH…HNO the N-H bond is strongly contracted and N-H…O blue-shifted hydrogen bonds are observed. While in complexes HCHO…NH3, HCOOH…NH3, HCHO…NH2F and HCOOH…NH2F, the N-H bond is elongated and N-H…O red-shifted hydrogen bonds are found. From the natural bond orbital analysis it can be seen that the X-H bond length in the X-H…Y hydrogen bond is controlled by a balance of four main factors in the opposite directions: hyperconjugation, electron density redistribution, rehybridization and structural reorganization. Among them hyperconjugation has the effect of elongating the X-H bond, and the other three factors belong to the bond shortening effects. In complexes HCHO…HNO and HCOOH…HNO, the shortening effects dominate which lead to the blue shift of the N-H stretching frequencies. In complexes HCHO…NH3, HCOOH…NH3, HCHO…NH2F and HCOOH…NH2F where elongating effects are dominant, the N-H…O hydrogen bonds are red-shifted.