The commission past year argued that the current law criminalises "exceptionally vulnerable" women and girls and subjects them to "inhuman and degrading" treatment.
Amnesty International and women who have been directly impacted by the abortion law intervened in the case, providing evidence that the near total abortion ban is a violation of women's rights.
The appeal was brought by the Northern Ireland Human Rights Commission (NIHRC).
"All eyes are now on the UK Government".
DUP chief whip Sir Jeffrey Donaldson said 100,000 people are alive in Northern Ireland today because the Abortion Act 1967 was not accepted. "A failure to act would be a cruel betrayal of women". It is now time to listen to the women of the United Kingdom and ensure safe, accessible abortion - which saves and improves lives - is available to everyone who needs it.
"This feels like a huge relief".
She added: "I for one want to be a legislator that brings about that change, but because of the DUP's denial of rights, and the fact we don't have an institution, because of the DUP's denial of rights what we need to see is the inter-governmental conference to meet and for them to deal with the rights-based issues, including the issue of women's healthcare".
"If this same thing was to happen to me tomorrow, and the law wasn't changed, I would make the same decision".
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The human-rights commission argued that the province's abortion laws were incompatible with the ECHR rules, which protects the right to terminate pregnancies in cases of fatal fetal abnormalities, rape and incest.
The human rights group did not have the legal standing to make the appeal, the Supreme Court said in its ruling.
This view was shared by four of the seven judges. "For over five years now, the commission has exhausted every legal hurdle". We will not accept being forced on planes to access healthcare.
"Women have been criminalised when they find themselves in very, very hard circumstances, so we welcome that debate but clearly we need to see legislative change here in the north". Labour MP Stella Creasy said the referendum to legalise abortion in the Irish Republic was an historic moment that should usher in change in Northern Ireland.
Lord Manse stated: "the present law clearly needs radical reconsideration".
"Abortion has been a devolved matter in Northern Ireland since it was created in 1921, and it would not be appropriate for Westminster to seek to impose its will, or to be the arbiter of an issue that has always been devolved to the people of Northern Ireland".
Mrs O'Neill said she wanted repeal of the relevant sections of the 1861 Offences Against the Person Act to ensure abortion was no longer treated as a criminal offence in the region.