Phylis Smith (née Watt, born 29 September 1965) is a female former sprinter from Great Britain who won an Olympic bronze medal in the 4 x 400 metres relay in Barcelona 1992.

At the 1993 World Championships in Stuttgart, she withdrew from the individual 400 m but returned for the relay to win a bronze medal with Tracy Goddard, Keough and Gunnell.

At the Commonwealth Games she was fourth in the 400m final in 51.49, before winning a gold medal in the relay, after the disqualification of original winners, Australia.

She concluded the 1994 season at the World Cup in London, placing fourth in the 400 metres, in 51.36, before teaming up with Linda Keough, Melanie Neef and Sally Gunnell to win the 4 × 400 m relay.

Her last major championships was the 1997 World Indoors in Paris, where she reached the 400m semi-finals and finished sixth in the 4 × 400 m final in a new UK record.