You must obtain approval from your local council prior to removing any tree(s) from your property. Failing to do so can incur substantial fines.
The rules regarding tree removal differ from council to council, but Tree Preservation Orders (TPOs) and Local Environment Plans (LEPs) guide many of the decisions made.
If you live close to bushland or in an area that is prone to bushfires, Check the 10/50 vegetation clearing entitlement area. If your property is located in a designated area, the 10/50 Vegetation Clearing Scheme allows you to clear certain vegetation near your home without having to get approval from the local council or land services office.