Crowley made his first appearance for the Wallabies at age 23 on 1 July 1989 in a match against the British Lions, which Australia won 30 points to 12. He also played in the two subsequent tests, which the Lions won. His next appearance for the Wallabies was at the 1991 Rugby World Cup which Australia went on to win. He earned two international caps in 1999 in tests against Ireland and Wales. He also played against Canada in Calgary the following year.
In 1995 he was capped twice for Australia for two games against Argentina, before heading to South Africa for the 1995 Rugby World Cup. He played in the losses to the Springboks and England. In 1997 he was capped on seven occasions for Australia, and then ten times during 1998. He was subsequently selected in Australia's 1999 Rugby World Cup squad for Wales. Crowley finished his international career as a double world champion, as his last game was the final against France, which Australia won 35 to 12. He is now one of the Reds' most capped players - with 124. He was also named on the bench of the Wallaby Team of the Decade.