The results of Friday's referendum will be announced at a later date.
Counting continues after two referendums on family and care in the Republic of Ireland.
Early signs indicate that both referendums may be rejected.
The vote, held on International Women's Day, asked for views on amendments to two parts of Ireland's constitution.
One change could change the definition of family to include those not based on marriage, and another could remove references to women in the household.
Green Party leader Eamonn Ryan, who campaigned for the reforms, said both questions were likely to fail.
Green Party leader Eamonn Ryan says result should be respected
Mr Ryan said: “It looks like both the family and long-term care referendum will be rejected.
“First of all, let me say that we respect it. This is the voice of the people, and in our constitution, the people are sovereign.
“They decide what goes into our Constitution.”
Mr Ryan, who was at the RDS counting center in Dublin, said: “If both votes are against, we have to respect that.”
Sinn Féin leader Mary Lou McDonald was jeered by a small crowd and taunted as a “traitor to the Irish people” as she arrived at Dublin Castle on Saturday.
The party insisted on a “yes, yes” vote, but said the government had “poorly expressed it thoughtfully” and there was a “lack of clarity”.
Mary Lou McDonald says party remains 'very' in touch with the public
Mr McDonald said the Irish people had been spoken to “very, very clearly” but insisted the party was still “very” in touch with them.
“They ignored the citizens' assembly, they didn't consult the opposition and other stakeholders. They didn't cooperate, they couldn't persuade,” she said.
“I know from talking to a lot of people that people have had to make unbalanced decisions and I think it’s very unfortunate that the government has continued to run on its own. The government has already given us the answer.”
Mr MacDonald said a “big takeaway” from the referendum was support for disabled people as full and equal citizens, adding that support for carers was something the government must take seriously.
Vote counting continues in Ireland's twin referendums
Counting will begin at 9 a.m. local time, with the first results from 29 counting centers expected to be released in mid-to-late afternoon.
When voting ended at 10pm local time on Friday night, turnout was mixed.
In some parts of the country, it reached 50%, while in others it remained below 30%.
Government misjudges voters' mood – McDowell
Sen. Michael McDowell, who opposed the constitutional amendment, said the results suggested “there is considerable leeway across the country.”
Mr McDowell, who served as Tánaiste (deputy prime minister), justice minister and attorney general, said: “The government misjudged the mood of voters and put proposals before them that it did not explain, or that it could have explained to voters.'' It seems so.'' serious consequences. “
“No” is a high number – Tobin
Aontu leader Pedar Tobin, who also supported the No campaign, said there had been a high number of “No” votes in both referendums.
Pedar Tobin describes proposed amendments as 'virtue communication'
Mr Tobin described the amendment in vague terms as the government's “virtue signaling.”
He added: “And the Sinn Féin leadership appears to be isolated from its previous support base and votes, which is a very dangerous situation for Mary Lou and the Sinn Féin leadership.”
Fine Gael senator Regina Doherty said it was an “insult” to the 100 members of the Citizens' Assembly to describe the referendum as a virtue signal.
Those taking part in Friday's referendum were given two ballots, one white and one green, and asked to vote yes (Tá) or against (Níl).
A turning point for people with disabilities – Clonan
Senator Tom Cronan said the wording of the care referendum was “detrimental” to the fundamental human rights of people with disabilities.
Ms Cronan, who has a 22-year-old disabled son, said she wanted discussions about “disability discrimination” to take place now.
“The state is terrible in its treatment of its citizens with disabilities. We must now discuss this issue in the future, how to actually align with other European countries and how to justify the rights of disabled citizens. I am blessed with the opportunity to find out what to do.
“I hope this is a turning point for our citizens with disabilities.”
People over the age of 18 who were ordinarily resident in Ireland, Irish citizens, and registered voters were eligible.
What did voters ask about family?
The Irish Constitution currently provides legal protection for the family unit, but links the concept of family to the institution of marriage.
A yes vote in both referendums would change Ireland's current constitution, which was first enacted in 1937.
The amendment called for expanding the constitutional definition of family to include other “permanent relationships” such as unmarried couples and single-parent families.
Supporters of the amendment, including the Irish government, said it would ensure that all family units have equal constitutional recognition.
But opponents argued that the term “enduring relationship” was unclear and could lead to unintended legal consequences.
What is Care Modification?
The Green Vote asked voters whether to accept or reject the 40th Amendment Bill, or the Cares Amendment Bill.
Currently, the Irish Constitution (Bunreacht na hÉireann) states that mothers should not ignore their “family duties” and go to work.
It also states that women's “domestic life'' is a source of support to the state that is necessary for the “common good.''
The proposed amendment called for removing both of these provisions and adding new language stating that the state “shall endeavor to support” the provision of family-based care.
