A three-judge panel rejected an appeal from some holdout creditors of a March ruling that removed injunctions blocking the payments.
Argentina will thus be able to follow through on settlement deals with other holdouts over some USD 9 billion in claims.
The appeal had held up the country's plans to raise some USD 12-15 billion on global capital markets to pay off the creditors, who have battled for full compensation for their bonds for years.
But the dispute had prevented Argentina from being able to raise any more funds in world capital markets and hobbled its economy.
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Reformist Macri opened new talks over more than USD 9 billion in claims for principal and interest on the bonds in February, and has struck compromise deals over most of them.
But some of the creditors were seeking better deals and moved to block the payouts.
Many of the holdouts though bought the bonds at steep discounts after the default and sued for full payment rather than back the restructuring. In a controversial decision in 2012, a New York court backed their claim.