Anne Rosemary Smith (31 August 1941 – 9 November 1993), was a sprinter and middle distance runner, who specialised in the 1500 metres and mile events. She represented Great Britain and Northern Ireland at the 1964 Tokyo Olympic Games. In 1967, Smith broke two world records in one race, running 4:17.3 for the 1500 metres and 4:37.0 for the mile. These were the first 1500 m and mile world records to be ratified by the IAAF.