Venters, a striker, joined Rangers in 1933 and spent a total of 13 years with the club, winning 3 League titles, 2 Scottish Cups and scoring 102 goals in 201 appearances. Venters was also a prolific scorer during World War II, however these games were unofficial.
He won three caps for Scotland, the first of which was in 1933 while with Cowdenbeath. He won a further two official caps while at Rangers, in 1936 and 1939. He also played in four wartime internationals.