Antisocial means angry, hostile, or harmful to society.
- Toddlers are notoriously antisocial when it comes to sharing toys.
- His behavior was called provocative and antisocial.
Asocial means rejecting or lacking the capacity for social interaction (a recluse).
- This possibly will not sit well with your partner, who may prefer that you be available for asocial function.
Unsocial (the preferred word) or unsociable means the same as asocial.