Rami Hamdallah, in a statement from his office late yesterday, said Israel pledged at a meeting with Palestinian officials to hand over the taxes collected between December and March, amounting to almost half a billion dollars.
Israeli media said the transfer of 1.8 billion shekels would take place on Monday.
The Palestinians had threatened to turn to the International Criminal Court over Israel's decision in early January to retain the taxes in retaliation for the Palestinians joining the ICC.
Israel agreed at the start of April to release the funds after deducting debts due for electricity, water and medical services, a proposal rejected by the Palestinians who insisted on full payment.
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Hamdallah said the PA, once the funds are received, will firstly pay the April salaries of its 180,000 employees, who have been receiving only 60 percent of their wages since December.
The deficit will also be paid "as soon as possible", the prime minister said.
Under an economic agreement signed in 1994, Israel transfers to the PA tens of millions of dollars each month in customs duties levied on goods destined for Palestinian markets that transit through Israeli ports.