How do I climb up the Burgle League Tier?

You must earn Burgle Points by doing Burgle Battles regularly. You'll earn points for successfully burgling another player and when you successfully defend your manor against other players.

Losing a Burgle Battle or if another player successfully burgled your manor, you'll lose points.

Thankfully, the amount of points you'll earn compared to the amount that you can possibly lose is still higher so just keep playing regularly and winning those Burgle Battles to climb up the tier!