"A decision has been taken by the government and the finance ministry to send a payment worth...490 billion Iraqi dinars (USD 412 million/389 million euros) to the KRG (Kurdistan Regional Government) to cover actual expenses for February," Hoshyar Zebari told AFP.
The payment includes funding for the Kurdish peshmerga security forces, who are battling the Islamic State group that overran large areas north and west of Baghdad last year, Zebari said. Another payment will follow at the end of March.
Kurdistan has exported less oil than expected by the budget this year but has worked to ramp that up, while Baghdad has not yet paid the full amount to the region, Zebari said.
"Both sides literally showed a commitment to the deal, although neither side fulfilled its full commitment," he said.
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But "it's an indication that both Baghdad and the KRG are committed to the oil and budget deal that was reached before the end of 2014."
Following the agreement between the two sides, parliament approved the 2015 budget at the end of January.