Ms Halappanavar, a 31-year-old Indian-origin dentist, had sought a pregnancy termination when told she was miscarrying, but the request was turned down due to Ireland's then strict anti-abortion laws.
"If we don't remove the Amendment from the constitution our doctors and lawmakers can't do anything for women", he said.
Tara Flynn, who 11 years ago flew to the Netherlands for an abortion, said she planned to vote "yes" to make sure future generations of women don't endure what she did, with feelings of isolation and shame.
Ireland's Minister for Children and Youth Affairs says she is grateful and emotional over with the apparent decision of voters to repeal the constitutional ban on abortions in Friday's landmark referendum.
The official vote tally for Friday's vote has not been finished but exit polls predict a massive victory for repealing the constitutional ban.
Irish President Michael D. Higgins cast his vote at St. Mary's Hospital in Dublin's Phoenix Park, close to his official residence.
John McGuirk, communications director for the "Save the 8th" campaign pushing a "No" vote, reacted to the exit poll on Twitter.
Mr Varadkar claimed Ireland was united - with men and women, almost every age group and every social class opting for reform in Friday's referendum.
"That women should be treated with dignity, equality, respect and compassion".
Despite it being illegal, abortion is still a reality for many women in Ireland who either choose to fly out of the country to terminate their pregnancy or seek a unsafe alternative like the abortion pill.
Sky's senior Ireland correspondent David Blevins said it was a wider margin than many people in the Catholic country had expected. He said the Dail would have to honour the will of the people.
Judge orders man, 30, to move out of parents' home
They told the judge they've had enough and have tried about everything, including offer money, to get him out. Greenwood listened quietly to Michael Rotondo's argument that he was entitled to six months more time.
Exit polls showed around 87 percent of 18- to 24-year-olds voted for abortion.
Clare Murphy said: "This is a momentous step forward that is long overdue".
"It's women's rights, I feel it's basic healthcare, human rights that women deserve, and we're not getting that".
"There is no prospect of the legislation not being passed", he said.
Ireland's LGBT+ community and women have bonded together to support those who need access to abortions in a way quite like no other. "Results bear that put - 82% in Greystones box, 83% in Delgany box and around 75% throughout all the county #togetherforyes", he tweeted.
"So I really was feeling very passionate that we come out and we move into a more secular and liberal society and that we give and we trust our women".
Campaigning was not allowed on Friday, but Dublin was still filled with signs and banners urging citizens to vote "yes" or "no".
Deputy Prime Minister Simon Coveney said the referendum had made him "proud to be Irish", forecasting "a stunning result that will bring about a fundamental change for the better".
If these numbers bear out, it will be enormously disappointing to religious conservatives and the No campaign, who expected to lose, but didn't expect to lose so decisively.
However, campaign group Save The 8th says politicians are "effectively seeking a licence to kill pre-born babies, and to introduce an abortion model that is in many ways even more extreme than the British regime". One in southwest Dublin offered hugs to people who voted in favour of repealing the ban.