"As we have said before, it would not be appropriate to comment on a case that has been and is currently before the French judiciary," the board said in a statement.
"However, the executive board has been briefed on this matter, including on the outcome of the recent hearings before the Court of Justice of the Republic in Paris, and has reaffirmed its confidence in the Managing Director's ability to effectively carry out her duties."
At the conclusion, the court declined to place her under formal charges, which could have challenged her ability to continue leading the IMF.
But she was not completely freed from the threat of prosecution, as the court kept her tied to the case as an "assisted witness," akin to a material witness.
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Ahead of her court appearance, worries had grown that the IMF faced more trouble with its chief, two years after Lagarde's predecessor Dominique Strauss-Kahn was forced to resign following his arrest in New York on sexual assault allegations. Criminal charges were later dropped and he agreed to a financial settlement in a civil suit.
Critics say the state should not have taken the risk of being forced to pay compensation to a convicted criminal who was bankrupt at the time.
Lagarde, 57, said Friday that being kept tied to the case as a witness was not a surprise, and defended her actions in the case.
"I have always acted in the best public interest and in accordance with the law," she said.
Today French judicial sources said police had detained for questioning in the case a lawyer and one of the three judges that had served on the Tapie arbitration panel.