FEDERAL Communications Minister Stephen Conroy says he will keep pressuring Twitter to co-operate with Australian police over serious abuse on its website.

"Twitter should respond to the Australian police when issues are raised," he told Macquarie Radio on Tuesday.

"Lives will be lost if we do not find a way to make Twitter responsive to the concerns in not only their own country but in our country," he said.

The minister's comments came after rugby league player Robbie Farah copped abuse on Twitter with a troll posting a sexually explicit tweet about his dead mother on Sunday night.

Senator Conroy said Twitter should provide information so authorities could get to the bottom of who the abusers were.

He said Facebook had responded and now had a staffer working on the matter in Australia.

The minister said he would continue to pressure the US-based social media giant.

"We've got to ensure that their corporate reputation is discussed and debated and we make the point that it is unacceptable for Twitter to behave this way," he said.

"They should hand over the evidence needed to help prosecute people."

Originally published as Twitter must co-operate with cops: Conroy