The UN Human Rights Council has taken note that Alamuddin is unavailable to serve on the Gaza Commission of Inquiry due to her prior professional commitments.
In a statement today, President of the UN Human Rights Council Baudelaire Ndog Ella said he "regrets" that the commission will not benefit from Alamuddin's expertise in the field.
The Council had announced yesterday that Alamuddin, professor of international criminal law William Schabas and Doudou Diene from Senegal, a United Nations Special Rapporteur on contemporary forms of racism, will form the independent Commission of Inquiry.
Following the announcement on the panel, Alamuddin had said she was "unfortunately not in a position to accept this role."
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Ella said the commission is now operational and he would "decide on the way forward and on how to best support and strengthen the Commission of Inquiry in its activities."
The panel would investigate purported violations of international humanitarian and human rights laws in the Occupied Palestinian Territory, including East Jerusalem, and particularly in the Gaza Strip since the conflict began on June 13.
She said was "horrified" by the situation in the occupied Gaza Strip, particularly the civilian casualties that have been caused, and "strongly believe that there should be an independent investigation and accountability for crimes that have been committed."
Alamuddin specialises in international law and human rights and has worked at the International Court of Justice and as legal adviser to the Prosecutor of the Special Tribunal for Lebanon.
The Council had decided, by a vote of 29 countries in favour, with 17 abstentions and a sole negative vote by the United States, to launch the inquiry at its emergency meeting in July.