Robert or Bob Woodward may refer to:
- Bob Woodward (Robert Upshur Woodward, born 1943), American investigative reporter and author
- Bob Woodward (actor) (1907–1972), American actor
- Robert Burns Woodward (1917–1979), American organic chemist
- Robert F. Woodward (1908–2001), U.S. diplomat
- Robert Simpson Woodward (1849–1924), American physicist and mathematician
- Robert Woodward (architect) (1923–2010), Australian architect and fountain designer
- Rob Woodward (born 1962), pitcher in Major League Baseball
- Robert Woodward, musician with Lieutenant Pigeon
- Rob Woodward (politician), state senator in the U.S. state of Colorado
- Robert Davidson Woodward (1909–1982), member of the Florida House of Representatives
- Robert M. Woodward, member of the Illinois House of Representatives
- Robert Woodward (priest) (1653–1702), Anglican priest
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