The initiation of microtubule assembly within cells is guided by a cone shaped multi-protein complex, γ-tubulin ring complex (γTuRC) containing γ-tubulin and atleast five other γ-tubulin-complex proteins (GCPs), i.e., GCP2, GCP3, GCP4, GCP5, and GCP6. The rim of γTuRC is a ring of γ-tubulin molecules that interacts, via one of its longitudinal interfaces, with GCP2, GCP3, or GCP4 and, via other interface, with α/β-tubulin dimers recruited for the microtubule lattice formation. These interactions however, are not well understood in the absence of crystal structure of functional reconstitution of γTuRC subunits. In this study, we elucidate the atomic interactions between γ-tubulin and GCP4 through computational techniques. We simulated two complexes of γ-tubulin-GCP4 complex (we called dimer1 and dimer2) for 25 ns to obtain a stable complex and calculated the ensemble average of binding free energies of -158.82 and -170.19 kcal/mol for dimer1 and -79.53 and -101.50 kcal/mol for dimer2 using MM-PBSA and MM-GBSA methods, respectively. These highly favourable binding free energy values points to very robust interactions between GCP4 and γ-tubulin. From the results of the free-energy decomposition and the computational alanine scanning calculation, we identified the amino acids crucial for the interaction of γ-tubulin with GCP4, called hotspots. Furthermore, in the endeavour to identify chemical leads that might interact at the interface of γ-tubulin-GCP4 complex; we found a class of compounds based on the plant alkaloid, noscapine that binds with high affinity in a cavity close to γ-tubulin-GCP4 interface compared with previously reported compounds. All noscapinoids displayed stable interaction throughout the simulation, however, most robust interaction was observed for bromo-noscapine followed by noscapine and amino-noscapine. This offers a novel chemical scaffold for γ-tubulin binding drugs near γ-tubulin-GCP4 interface.