For four hours, mourners passed her open coffin in the church, while Cranberries songs were softly played.
The 46-year-old mother of three was found dead in a London hotel a week ago.
Paying tribute to Dolores on the week of her death, President Higgins said she "had an enormous influence on rock and pop music in Ireland and internationally".
"It is to the incredible credit of all those who have appreciated the music and the songs and the performances and the band, that they have come out in such numbers to make their tribute. It's so appropriate and it is generous, and I hope that her family will get all the support they need".
Aedin Ni Bhriain, her former headteacher, said: "We are very proud of her as a past pupil and also because she was a Limerick woman who never forgot she was a Limerick woman".
"As her teachers have been saying, she was a star that shone very bright from the beginning, and I wish her peace".
Her funeral will be held at St. Aible's Church in Ballybricken on Tuesday, after which she will be laid to rest in a private burial. Her family is lovely.
Among those was a video from the band JigJam, made up of Tullamore's Jamie McKeogh, Daithí Melia and Cathal Guinan, as well as Tipperary's Gavin Strappe, who sang the Cranberries hit "Zombie" in O'Riordan's honour.
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The Metropolitan Police have said they are not treating her sudden death as suspicious.
Following her death, her boyfriend and D.A.R.K. bandmate Ole Koretsky said "the love of my life is gone".
Canon Liam McNamara, family friend, will be chief celebrant of the Mass which will be attended by family, neighbours, friends and by the local community.
After two days of public mourning, Dolores O'Riordan's close family and friends will gather in a small rural church in Ballybricken to say their final goodbyes.
A major Garda traffic management plan was put in place around Ballyneety village for the removal service on Monday and funeral Mass on Tuesday of the Cranberries lead singer.
RTE reported that thousands of fans turned to pay their respects to the singer at the public reposal today, Sunday afternoon, at Saint Joseph's Church in O'Connell Avenue Limerick.
Coroner Shirley Radcliffe adjourned the hearing until April 3 when a date for the full inquest will be set.