He has also been before the Tenancy Tribunal because of unpaid rents.
Mayor Annette Main said she was "pretty disappointed" to see the councillor, now halfway through his second term, back in court and that "he will be well aware of this".
"Councillors are elected by our community, and I believe they have higher expectations of those they elect."
Under the Local Government Act, an elected member is disqualified from their office if they are convicted of an offence punishable by a term of imprisonment of two years or more. The possession charge Mr Bullock faced had a maximum penalty of three months' imprisonment and/or a $500 fine.