Michael D Higgins was re-elected Irish President after 56% redial.
The businessman Peter Casey came second with 23.1%, while none of the other four candidates received more than 10% of the respondents.
Sinn Féin's boss, Mary Lou McDonald, said she was "disappointed" but said it was wrong for Fianna Fáil and Fine Gael was "marginalized" in the elections.
- Fitting words for "Poet President"
- Who is Michael D. Higgins?
Voters also supported the proposal to delete blasphemy as a constitutional offense with 64.85% yes votes.
Mr. Higgins, the first 50-year incumbent who faced a challenge in his second campaign, won 822,566 votes.
London businessman Peter Casey received significantly more votes than the campaign's final polls had predicted. His final count was 342,727.
Sinn Féin, MEP Liadh Ni Riada, received 93,987 votes ̵
"I'm not sorry we had a choice – I think it was wrong for Fianna Fáil and Fine Gael to be on the sidelines," McDonald told BBC's Sunday Politics program.
"We have decided to challenge the elections – the other parties have not."
She added, "I believe my leadership would have been rightly called into question if I conflicted with Micheál Martin and Leo Varadkar."
"Of course I'm disappointed, I would have liked a better show for Liadh [Ni Riada]but that should not be so.
" They learn from every contest. They will learn from every encounter you have with the electorate, and we will learn from it. "
Result of the Irish presidential election
Valid votes: 1,473,900
- Michael D Higgins 822,500
- Peter Casey 342,727 [SeánGallagher94514
- . Gavin Duffy 32,198
The result was confirmed on Saturday night in a statement in Dublin Castle.
After his victory, Mr. Higgins said he accepted his mandate with "humility, determination and excitement".
"People are interested in ideas that are sincere and constructive," he said.
"It's important for words, words can hurt, words can heal, words can give strength, words can share.
" And the words and ideas I used This campaign reflects a vision for Ireland based on four areas.  "Equal and powerful, strong sustainable communities sharing history – shaping the future and Ireland's voice is important."
After Mr. Higgins finished on the podium, second-placed Mr. Casey, when he last confessed to a vote in the Irish Senate, said he received only 14 votes.
"Someone worked there – it's an improvement of 23,000 percent," he quipped.
Sinn Féin, MEP Liadh Ni Riada, said she hoped it was the last Irish presidential election that people in Northern Ireland could not vote for.
Voter turnout was low in many parts of the country.
More than 3.2 million people were eligible to vote in electoral and referendum elections.
Taoiseach (Irish Prime Minister) Leo Varadkar congratulated Mr. Higgins on his predicted victory on Saturday morning.
Voters received two ballot papers in polling stations.
They received a white ballot for the presidential election and a green ballot for the referendum on blasphemy.
Many had no idea that such a crime existed until a member of the public announced controversial statements by the actor Stephen Fry about an RTÉ program to An Garda Siochana (Irish police).
Mr. Fry talked about what he considered cruelty to God during the program.
But the matter was dropped when gardai (policemen) could not find anyone who was offended.
The last person to be prosecuted for blasphemy was in 1855, when the British ruled Ireland.
The Irish Minister of Justice and Equality, Charlie Flanagan, welcomed the outcome of the referendum.
Minister Flanagan said: "In my opinion, there is no place for a provision like this in our constitution: Ireland is rightly proud of our reputation as a modern, liberal society."
In addition to the removal of the word "blasphemous" from Article 40.6.1 of the Constitution, the Minister is now seeking to repeal sections 36 and 37 of the Defamation Act 2009.
Blasphemy was defined as a publication or statement that is "grossly abusive or offensive with respect to matters sanctified by any religion number of adherents of that religion".
The president is Ireland's "first citizen" but has limited power – the role is primarily symbolic and he can not interfere in daily politics.