A request to the UK government to introduce presumed consent for organ donation has been withdrawn by the Welsh Assembly.
Health minister Edwina Hart told AMs the decision followed the successful referendum result in favour of direct law making powers.
She said the public vote meant there was no longer any need for a legislative competence order (LCO).
Mrs Hart said in the light of cross-party support she expected the next assembly to pass the legislation.
Addressing AMs in the Senedd she said: “The referendum result has paved the way for a future Welsh Assembly government to introduce an Assembly Bill, with appropriate legislative scrutiny taking place here in the assembly.
“In that event, presiding officer, it will be for you to decide whether or not in your view an assembly government-proposed Bill is within the assembly’s legislative competence.
“The assembly government’s clear view is that, given the wording of Schedule 7 to the Government of Wales Act, the assembly would have the power to pass an act about organ donation.”
The move was welcomed by parties across the political spectrum in the assembly.
Welsh Liberal Democrat AM Veronica German said: “We certainly look forward to an early bill on this matter in the next assembly session, whatever the make-up of this place.”
And Plaid Cymru AM Dai Lloyd said the withdrawal of the LCO was “great news” and the assembly would no longer have to go “cap in hand” to Westminster for permission to make law.
He added: “It boils down to the fact that we’ve no need ever again for LCOs. This place is now a Parliament, a Senedd.”
Campaign group Donate Wales said currently there were more than 490 people in Wales who were awaiting a transplant. And it said that, while seven in 10 would like to be on the donor register, fewer than three in 10 were.