According to a report on the website of "Sydney Morning Herald", Gilmour died at the age of 62 after a lengthy battle with ill health. He underwent a liver transplant in 2005, the report said.
Left-handed Gilmour, born on June 26, 1951, played 15 Tests and five One Day Internationals for Australia. He made his Test debut against New Zealand in Melbourne on December 29, 1973.
In his international career from 1973 to 1977, he took 54 Test and 165 ODI wickets besides scoring 483 runs in Tests and 42 in ODIs.
Gilmour played in the inaugural 50-over World Cup in 1975 in England. He was the star of the semi-final against England when he took 6/14. In the final against West Indies, Gilmour shone again with the ball, with figures of 5/48, but his team lost.
He won the Man-of-the-match award for his performances in the semi-finals where he also scored an important run-a-ball 28 runs with five fours when Australia were 39/6 in run-chase of 94.