Ann Marie McQuillan (32) from Fettercairn in Tallaght, received multiple injuries when she fell between the tram and the platform at the Blackhorse stop in Inchicore last Thursday evening.
She died in hospital on Monday after being on a ventilator.
Ann Marie's funeral mass took place yesterday morning at the Church of The Incarnation in Fettercairn, followed by cremation at Newland's Cross.
Luas investigators are examining CCTV footage of the accident, in which no one else was injured.
Family members at the McQuillan home in Drumcairn did not wish to comment on Ann Marie's accident.