A left-arm spinner, Fullston, 52, made her international debut against India in the 1982 Women's World Cup.
She claimed 73 one-day international and 41 Test wickets and twice took five wickets in an ODI innings with best figures of 5-27 in her international career spanning seven years from 1982-89. A handy lower order batswoman, Fullston averaged 31.67 in Test cricket with a top score of 41 not out against England in 1987.
Cricket Australia (CA) paid tribute to Fullston and her role in the development of women"s cricket in Australia.
"Lyn Fullston was a distinguished international cricketer. She was also an excellent ambassador for women"s cricket and for women"s sport in general, from a community level up to international representation," CA, chairman Creagh O'Connor said.
"It is tragic that she died far too early and on behalf of everyone here at CA, I offer her family and friends our condolences."