The income after your father's death will belong to his estate. There are two possible scenarios - the first is that there is an estate period in which your father's estate pays tax on the income from his date of his death to the date of grant of probate. The second scenario is that the beneficiaries are treated as being taxable on the income from his date of death. The latter scenario, if my memory serves me correctly, applies where the beneficiaries of the estate are Irish tax resident. My understanding is that the Revenue need to state that the beneficiaies are treated as being taxable from date of death. The second scenario, if available, is more straight forward. I would add that I haven't looked at this in a number of years and the practice may have changed.