Conaway is a surname. Notable people with the surname include:
Asbury B. Conaway (1837–1897), justice of the Territorial Wyoming Supreme Court and of the Wyoming Supreme Court Charles Conaway, former Chief Executive Officer of Kmart and former President and Chief Operating Officer of CVS Corporation Cristi Conaway (born 1964), American actress and fashion designer Frank M. Conaway Jr. (born 1963), American politician Gertrude Conaway Vanderbilt (1901–1978), née Conaway, American socialite and philanthropist Herb Conaway (born 1963), American politician Jeff Conaway (1950–2011), American actor Joan W. Conaway, American biochemist John B. Conaway (born 1934), retired U.S. Air Force lieutenant general and Chief of the National Guard Bureau John W. Conaway (1843–1913), Union Army soldier awarded the Medal of Honor Mike Conaway (born 1948), American politician