Group IB metal halides (CuX and AgX, X=Cl, Br and I) are widely used in optoelectronic devices and photochemical catalysis due to their appropriate optical and electronic properties. First-principles calculations have confronted difficulties in accurately predicting their electronic band structures. Here we study CuX and AgX with many-body perturbation theory in the GW approximation, implemented in the full-potential linearized augmented plane waves (FP-LAPW) framework. Comparing the quasi-particle band structures calculated with the default LAPW basis and the one extended by high-energy local orbitals (HLOs), denoted as LAPW+HLOs, we find that it is crucial to include HLOs to achieve sufficient numerical accuracy in GW calculations of these materials. Using LAPW+HLOs in semi-local density functional approximation based GW 0 calculations leads to good agreement between theory and experiment for both band gaps and the splitting between metal (Cu or Ag) d and X-p states. It is indicated that quasi-particle band structures of CuX and AgX are crucially influenced by the numerical accuracy of GW implementations, similar to what was found in ZnO [Jiang, H.; Blaha, P. Phys. Rev. B 2016, 93, 115203]. This work emphasizes the importance of numerical accuracy in the description of unoccupied states for quasi-particle band structure of materials with the d 10 electronic configuration. PACS numbers: 31.15.xm, 31.10.+z,