A national biennial low-dose CT screening programme for lung cancer in New Zealand adults aged 55–74 years improved total population health, reduced health inequities for Māori and would likely be cost effective compared with usual care in a Markov macrosimulation model. The model estimated health benefits and costs of screening smokers with a 30-pack-year history and former smokers who had quit within the last 15 years. Using a threshold of NZ$45,000 (based on gross domestic product per capita), the cost of screening was NZ$34,000 per health-adjusted life-years gained for both the total population and for Māori. Health gains for Māori vs non-Māori were doubled with screening in females and 25% greater in males.