Born Sydney, Australia and educated at Marist Brothers High School at Darlinghurst, Harry Finch, a wing, made his first grade debut with Eastern Suburbs in the year 1925 as an 18-year-old.
In his second year at the club Finch, was selected to make his state debut for the New South Wales rugby league team in the interstate series against Queensland.
The following season, 1927, Finch transferred to the South Sydney club where he played 62 matches in the years (1927–30) and (1933–34).
Finch made his Australian debut after being selected for the 1929–30 Kangaroo tour of Great Britain.
[2] On the tour, Finch didn't play in a Test but did represent Australia in 10 of the minor matches.