Medialization laryngoplasty is one of the primary surgical interventions in the treatment of glottal insufficiency due to vocal fold paralysis, paresis, or atrophy. During the surgery, an implant is laterally inserted into the larynx to medialize the affected vocal fold toward glottal midline, with the goal of improving glottal closure during phonation and voice production efficiency. While implants of different materials and geometry designs have been used, the effect of implant design on the voice outcome remains unclear. In this simulation study, the effect of implant stiffness was investigated in an MRI-based model of the vocal folds after medialization laryngoplasty. The results showed that implant stiffness had a significant impact on the phonation threshold pressure, glottal area waveform, and fundamental frequency, but only small effect on the closed quotient and other acoustic measures of the produced voice. The effect of implant stiffness also exhibited variability, depending on the stiffness conditions of the vocal fold and paraglottic tissues, indicating that individual differences need to be considered during the planning of medialization laryngoplasty.