Son of Jack; God is gracious
Jaxsun is a modern phonetic spelling of Jackson, which originated as an English surname meaning 'son of Jack'. The name Jack itself is a medieval diminutive of John, derived from the Hebrew name Yochanan, meaning 'God is gracious'.
Less common today
Jaxsun isn't in the latest US Top 1000. It last peaked at #6,283 in 2014.
US births per 5-year period, 1990βpresent (SSA data).