The European Commission said the record sum was the result of Apple receiving unfair tax incentives from Ireland.
More than a year after the EU order, Dublin's slow pace in recovering the money has landed it in court. Ireland is now seeking an investment manager and a custodian to operate the account and expects to appoint both next month.
"We have now reached agreement with Apple in relation to the principles and operation of the escrow fund," Finance Minister Paschal Donohoe told reporters before a meeting with European Competition Commissioner Margrethe Vestager.
"We expect the money will begin to be transmitted into the account from Apple across the first quarter of next year."
Both Dublin and Apple have challenged the EU order.