H
- Hannah Murray (born 1989), English actress
- Harold James Ruthven Murray (1868–1955), English chess historian
- Harry Murray (1880–1966), Australian Victoria Cross recipient
- Henry Murray, (1893–1988), American psychologist who developed the Thematic Apperception Test (TAT)
- Herbert Harley Murray (1829–1904), English colonial governor
- Hubert Murray (1861–1940), brother of Gilbert Murray
- Hugh Murray (disambiguation)
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