Dolores' mother, Eileen O'Riordan, said of her daughter's shock death: "We want to thank all the people of Limerick who have remembered Dolores this week".
O'Riordan's music was played softly throughout the service and photos of the performer on stage, as well as one of her with the Pope, were placed around the church.
Thousands of fans reportedly flocked to the church to pay their respects.
This afternoon, her coffin was carried into Saint Joseph's Church in Limerick.
A book of condolence was opened at Limerick City Hall earlier this week, while an online book is also available here.
Canon Liam McNamara, a close friend of the O'Riordan family, will act as chief celebrant of the Requiem Mass, which will begin at 11:30 on Tuesday.
She was in London to record a version of Zombie with the hard rock band Bad Wolves, the group said on Tuesday.
O'Riordan's bandmates left a floral tribute next to her coffin that read, "The song has ended, but the memories linger on". An inquest into her death will take place on 3 April.
Greatest hits collection Stars: The Best Of 1992-2002 landed at number 16 on the albums chart this week, a higher position than its previous peak of number 20 when it was released in 2002.
The musician rose to fame in the 1990s and became renowned for her distinctive voice.
'The London Ambulance Service was contacted and verified her death at the scene.