Greenway is a surname. Notable people with the surname include:
Barney Greenway (born 1969), British death metal vocalist
Brian Greenway (born 1951), Canadian guitarist and vocalist
Chad Greenway (born 1983), American football player
Francis Greenway (1777–1837), Australian architect
Harry Greenway (born 1934), British politician
Isabella Greenway (1886–1953), U.S. Congresswoman
James Greenway (1903–1989), American ornithologist
John Greenway (folklorist) (1919-1991)
John Greenway (MP) (born 1946), British Conservative politician
John Campbell Greenway (1872–1926), American soldier
Thomas Greenway (1838–1908), Premier of Manitoba, Canada
Tom Greenway (1909–1985), American actor