Jonson \j(o)-nson, jon-son\ as a boy's name is a variant of Johnson (Old English), and the meaning of Jonson is "son of John".
The baby name Jonson sounds like Janson and Jenson. Other similar baby names are Ronson, Anson, Hanson, Annson, Benson, Jakson, Jacson, Jensen, Jansson, Jansen, Jason, Jayson, Jaison, Jensson, Jimson, Johnston, Judson, Sanson, Tanson and Vinson.