She is the first person to die from the H1N1 virus here since the first cases emerged in this country in May.
Department of Health officials said this evening that the woman had an underlying medical condition.
Her family has asked for privacy.
In a statement this evening, Tallaght Hospital said in order to protect the confidentiality and privacy of the family no personal details will be made available.
The hospital says that all national protocols have been followed in regards to the matter.
The statement went on to say that the patient has been in an individual room within the hospital from the time she was admitted and the hospital's Influenza Pandemic Flu Committee has put in place 'all necessary measures to ensure both the safety of other patients and staff within the Hospital'.
Read the HSE's information on swine flu
The HSE's 24-hour flu information line is available on Freephone 1800 94 11 00
