Edward Greaves may refer to:

• Edward Greaves (Australian politician) (1910–1964), member of the New South Wales Legislative Assembly
• Edward Greaves (MP) (1803–1879), English banker and Conservative politician
• Sir Edward Greaves, 1st Baronet (1608–1680), English royal physician
• Edward Evelyn Greaves (born 1940), High Commissioner of Barbados to Canada

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