He won 14 caps for the Springboks between 1992 and 1994, scoring four ties and even captaining them on occasion. He also played a record 156 matches for Western Province during Western Province's golden period before he moved permanently to Australia.
Besides representing both South Africa and Australia at international level in rugby union, Strauss also played top-level domestic rugby league in Australia.
In Australia he played two seasons with the Cronulla-Sutherland Sharks before switching back to rugby union for New South Wales. He was selected for the Wallabies a total of 11 times, scoring a hat-trick against Ireland on debut.
All but two of his caps were from the bench. He did make a capable replacement for Toutai Kefu in the 1999 World Cup quarter-final in Cardiff when the former was banned, but it turned out to be his last cap.