A Bill which means everyone automatically becomes an organ donor unless they opt out will complete its passage through the Oireachtas today.
The Human Tissue Bill will also see new regulations for post-mortems and the removal, donation or use of organs for transplant.
It is hoped it will lead to an increase in organ donations.
Under the new system, consent for organ donation will be given unless the person has registered their wish not to become an organ donor while alive.
It is a change from the current system where decisions on organ donation are the responsibility of the next-of-kin.
The Department of Health has said although the wishes of the deceased will be central to any decision, "families will continue to be consulted as part of a safe and respectful organ donation process".
Information on an opt-out register has yet to be published.
'Meaningful moment'
Health Minister Stephen Donnelly is making an extra €1.6 million in funding available for organ donation and transplant services.
"The passage of this Bill is a meaningful moment for healthcare in Ireland," he said.
"This Bill enshrines respect - respect for the generosity of donors and their families, and respect for the dignity of the deceased.
"Now we turn our attention to the important business of commencing the legislation and increasing opportunities for people waiting for an organ donation," he added.
The Bill also amends the Coroners Acts to introduce additional provisions for "communication and information sharing" with families in cases where a post-mortem is required.
It also features regulations of the retention, storage, use, disposal and return of organs and tissue from deceased persons following post-mortems.
The Bill will be sent to President Michael D Higgins for signing into law following its passage through the Oireachtas.