Moynier ni a yan fun Nobel Peace Prize ni 1901, 1902, 1903, ati 1905 nipasẹ Richard Kleen, ọmọ ẹgbẹ ti Institut de droit international (Institute of International Law). Sibẹsibẹ, ko dabi Dunant ti a fun ni ẹbun Nobel Peace Prize akọkọ ni 1901 papọ pẹlu Frédéric Passy, Moer ko gba ẹbun naa. O ku ni ọdun 1910 ni oṣu meji ṣaaju ki Dunant, laisi eyikeyi iru isọdọkan laarin awọn meji.
Ọdún 1901, 1902, 1903 àti 1905