This Phase 3, open-label, safety and efficacy study will be performed at sites in North America, Europe, and Israel. The study will enroll up to approximately 208 participants with nmCF who participated in a previous Phase 3 study of ataluren (PTC124-GD-009-CF \[Study 009\], NCT00803205). Participants will receive study drug 3 times per day (TID) (at breakfast, lunch, and dinner) for approximately 48 weeks (approximately 1 year). Study assessments will be performed at clinic visits every 8 weeks.