The deformations of metallic glasses are generally attributed to the rearrangements of local structures; however, the structural response mechanisms induced by different atomic bond types and cluster motifs during deformation remain unclear. To establish the correlation mechanism between atomic bonding characteristics and local structural evolution during metallic glass deformation, we employ pair distribution function (PDF) analysis of in-situ synchrotron high-energy X-ray total scattering to investigate the local structural evolutions of metallic glasses with Pd_77.5Cu₆Si_16.5 metal-metalloid (M-Met) and Zr₅₉(Cu_0.55Fe_0.45)₃₃Al₈ metal-metal (M-M) bonding during tensile deformation. Under elastic tensile strain, an M-M system exhibits reduced packing density in both short-range order (SRO) and medium-range order (MRO), and this process is dominated by the medium-range ordered structure, with the overall structure tending to disordering. By contrast, although the overall packing density of SRO and MRO in an M-Met system tends to decrease under strain, cooperative rearrangement of local bonds increases the SRO and this ordering extends to the MRO regime. It is found that the bond type significantly affects the changes in interatomic correlation length and local order, thereby modulating microstructural heterogeneity and deformation behavior. These results provide new insight into the microstructural origins of deformation behavior in metallic glasses.