Stress granule formation is induced by numerous environmental stressors, including sodium arsenite treatment and viral infection. Accordingly, stress granules can inhibit viral propagation and function as part of the antiviral host response to numerous viral infections. Severe acute respiratory syndrome coronavirus-2 (SARS-CoV-2) antagonizes stress granule formation, in part, via interaction between SARS-CoV-2 nucleocapsid (N) protein and Ras-GTPase-activating SH3-domain-binding protein 1 (G3BP1). However, it is unclear whether there are differential effects in different cell types. In this study, we assessed interaction between the N protein of SARS-CoV-2 S clade and G3BP1/2 in Vero and Calu-3 cells and investigated the effect of various SARS-CoV-2 strains on sodium arsenite-induced stress granule formation. Our data show that SARS-CoV-2 S clade N protein interacts with both G3BP1 and G3BP2 more strongly in Calu-3 vs. Vero cells. Consistent with this observation, infection with SARS-CoV-2 S clade induces stress granule formation in Vero but not in Calu-3 cells. However, infection with SARS-CoV-2 S clade, as well as other SARS-CoV-2 variants, inhibits sodium arsenite-induced stress granule formation in both cell lines. Taken together, our results show differential effects of SARS-CoV-2 infection on stress granule formation that is dependent on host cell type, rather than virus strain type.