Andrew or Andy Henderson may refer to:

• A. A. (Andrew Augustus) Henderson (1816-1875), navy surgeon and specimen collector
• Andrew Henderson (writer) (died 1775), Scottish writer
• Andrew Henderson (portrait painter) (1783–1835), Scottish portrait painter
• Andrew Henderson (schoolmaster) (1797–1869), school teacher in Nova Scotia, Canada
• Andrew Kennaway Henderson (1879–1960), New Zealand clerk, illustrator, cartoonist, editor and pacifist
• Andrew Henderson (English cricketer) (born 1941), former English cricketer
• Andrew Henderson (Scottish cricketer) (1922–2020), Scottish cricketer
• Andrew Henderson (botanist) (born 1950), English-born palm systematist
• Andrew Henderson (rugby league) (born 1979), English rugby league footballer
• Andrew Henderson (rugby union) (born 1980), Scottish rugby union footballer
• Andy Henderson (soccer) (born 19??), Australian football (soccer) player and coach
• Andy Henderson (Scottish footballer) (active 1914–1919), Scottish football goalkeeper
• Andy Henderson (EastEnders)