Josh or Joshua Wright may refer to:

• Joshua D. Wright (born 1977), legal academic and former Commissioner of the U.S. Federal Trade Commission
• Joshua Wright (Alaska politician) (1929–2017), member of the state House of Representatives
• Joshua Wright (mayor), mayor of Trenton, New Jersey from 1803 to 1806
• J. Butler Wright (1877–1939), American diplomat
• Josh Wright (born 1989), English ex-footballer, played for teams including Gillingham
• Josh Wright (footballer, born 1988), English ex-footballer, played for teams including Emley