Anderson married Jennifer Baker in 1970, and they divorced in 1995. They have three children: daughter Deborah Anderson (b. 1970), son Damion Anderson (b. 1972), and daughter Jade Anderson (b. 1980). He married Jane Luttenberger in 1997.
Meave Leakey is married to Richard Leakey, a famous paleontologist. They have two children, Louise (born 1972) and Samira (born 1974). Her daughter Louise Leakey continues family traditions by conducting palaeontological research.