Francis Bede Smith (28 February 1886 – 29 October 1954), known as "Frank" or "Bede", was an Australian rugby union player who competed in the 1908 Summer Olympics.
Smith, a centre, was born in Wellington, New South Wales and claimed a total of 4 international rugby caps for Australia.
His debut game was against New Zealand, at Dunedin, on 2 September 1905.
He was a member of the Australian rugby union team, which won the gold medal.