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- Harvey Rice, (1800–1891) lawyer, publisher, author and Ohio state legislator
- Helen Steiner Rice (1900–1981), U.S. writer of religious poetry
- Henry Rice, (1786–1867) U.S. military officer, merchant and Massachusetts state legislator
- Henry Gordon Rice (born 1920), U.S. logician known for Rice's theorem
- Henry Mower Rice (1816–1894), U.S. Senator from Minnesota
- Homer Rice, U.S. professional and college football coach
- Horace Rice (1872–1950), Australian tennis player
- Howard Rice, U.S. sailor
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