Governor-General Quentin Bryce has spoken out about the high suicide rates of young gay, lesbian and gender diverse people, saying their deaths are "too high a price to pay".

On Tuesday Ms Bryce said lesbian, gay, transgender, bisexual and intersex Australians were six times more likely to take their own lives than mainstream Australians.

"This is too high a price to pay for our young people. We cannot allow another person to be lost," she said.

The Governor-General's comments came after others she made on Saturday in which she publicly supported gay marriage and Australia's becoming a republic.