The Celtic folk singer, songwriter and harpist from the Irish-speaking Donegal Gaeltacht area of Gweedore recorded about 25 albums and sold millions of records worldwide.
She rose to prominence as part of her family’s band, which formed in 1970 and later included Moya’s younger sister, Enya.
A number of tributes have been paid to Brennan, who was regarded by many as the First Lady of Celtic Music, with Irish President Catherine Connolly saying her music would be enjoyed for generations to come.
There was a presentation of symbols from her life in the church, including a harp, a bodhrán [a traditional Irish drum], a prayer book, a family photograph and a Donegal GAA jersey.
Connolly said Moya Brennan had left an exceptional legacy of music that will be enjoyed for generations to come, while Taoiseach Micheál Martin said she was an iconic Irish voice.
She is survived by her husband, Tim Jarvis, and their daughter, Aisling, and son, Paul.