Mucopolysaccharidosis type I Hurler syndrome (MPS IH) is a severe lysosomal storage disorder caused by alpha-l-iduronidase (IDUA) deficiency. Premature truncation mutations (PTC) are the most common (50%–70%) type of IDUA mutations and correlate with MPS IH. Nonsense suppression therapy is a therapeutic approach that aims to induce stop codon readthrough. The different ability of gentamicin to bind mutant mRNA in readthrough is determined by nucleotide sequence (PTC context: UGA > UAG > UAA) and inserted amino acid including the nucleotide position +4 of the PTC, as well as the mRNA secondary structure. We used COS-7 cells to investigate the functional characteristics of p.Q500X and p.R619X, IDUA variants and the effects of gentamicin in inducing stop codon readthrough of seven IDUA variants including p.Q500X, p.R619X, p.Q70X, p.E299X, p.W312X, p.Q380X, and p.W402X. Moreover, we performed prediction of RNA secondary structure using the online tool RNAfold. We found that cells treated with gentamicin showed significantly enhanced full-length IDUA expression and restored IDUA activity, in a dose-dependent manner, only in cells expressing cDNA with W312X, Q380X, W402X, and R619X. Among the readthrough-responsive variants, we observed UGA PTC in W312X, W402X and R619X; and UAG PTC with C at nucleotide +4 in Q380X. Changes of RNA secondary structure were noted only in mutants with readthrough-responsive variants including W312X, Q380X, W402X, and R619X. Additional preclinical studies of selected PTCs with potential readthrough, using drugs with less oto-nephrotoxicity, in patient's skin fibroblasts and animal model are necessary for the premise of personalized medicine.