The bailout fund will disburse €8.5bn (£7.4bn) to Greece, eurozone ministers said in a statement.
The latest tranche of the international bailout will help avert a fresh debt crisis in July when the next €7bn euro repayment of loans becomes due.
The payment is still subject to parliamentary approvals in some countries.
International Monetary Fund (IMF) director Christine Lagarde said she would propose an approval in principle to her executive board.
The IMF wants clarity on longer-term debt relief for Greece once the current funding scheme, worth up to €86bn, runs out next year.
Ms Lagarde said the IMF was ready to participate to the third bailout programme for Greece after the meeting of eurozone finance ministers in Luxembourg which capped months of negotiations.
However, the IMF could join the programme with a financial support "in the range of $2bn" only after a full deal on additional measures of debt relief for Greece.
Eurozone ministers strike deal to release funds to Greece
16 June 2017
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Eurozone ministers have struck a deal to unlock the latest tranche of Greece's bailout cash.
