MP2/aug-cc-pvtz level was used to optimize geometries of the complexes between GeH4 and Y(Y=He, Ne,Ar, Kr) have been calculated at the. The structures and electronic properties of the blue-shift hydrogen bonds complexesGeH4Â Y(Y=Ar, Kr) were investigated. The calculated interaction energies with basis set super-position error (BSSE) correction revealed that the relative stabilities of the complexes in the order:GeH4Â He < GeH4Â Ne < GeH4Â Ar ï»GeH4Â Kr. The calculated results showed that the interactions between GeH4 andY(Y=He, Ne) belong to van derWaals force, and those betweenGeH4 andY(Y=Ar, Kr) belong toweak hydrogen bond. NBO (natural bond orbital theory) and electron behavior analysis showed that GeH4Â Y(Y= Ar, Kr) hydrogen bond is with a non-electrostatic property. Electron density topological properties have also been calculated to investigate the critical points of HÂ Y weak bonds in all the structures of the complexes.