Exhibit 23.3 We hereby consent to the use of our name in the Registration Statement on Form F-1 (File No. 333-119314) of Aspen Insurance Holdings Limited. In giving this consent, we do not admit that we come within the category of persons whose consent is required under Section 7 of the Securities Act of 1933, as amended, or the rules and regulations of the Securities and Exchange Commission thereunder. Respectfully submitted, /s/ LeBoeuf, Lamb, Greene & MacRae, L.L.P. - ------------------------------------------ LeBoeuf, Lamb, Greene & MacRae, L.L.P. New York, New York October 13, 2004 /s/ LeBoeuf, Lamb, Greene & MacRae - ----------------------------------- LeBoeuf, Lamb, Greene & MacRae London, England October 13, 2004
