Packing in graphs is an influential steer, as it has numerous implementations in applied sciences. In computer science, it is one of the most studied and researched area, primarily due to its combinatorial aspects and algorithmic utilisations. Research outcomes and findings from packing theory have tremendous utilisations in code optimization, clustering, and component placing. P3-packing concepts have quite a few promising applications in chemistry for illustrating chemical compounds or to problems of pattern recognition and image processing, few of which involve the use of hierarchical data structures of nanotubes. In this paper we give algorithms to find perfect H-packing of TUC4C8(S) nanostructure with H isomorphic to cyclooctane, butane, 3, 4-dimethyl hexane, cyclobutane and 2-methyl propane. We have also investigated that the V-Phenylenic nanostructure VPH[p, q] admits a perfect H-packing with H isomorphic to cyclohexane, propane, 2, 3 - dimethyl butane, 2 - methyl pentane and 3 - methyl pentane. In addition we have also studied the F-packing of VPH[p, q] where F ≃ {C4, C8}.