Your business name and trade name can be different. Your business name is the legal name you enter on government forms and applications. It is your full name followed by a word or words that describe the type of business you are running. If your name is Eric Hamilton and you own an insurance agency, your legal name can be Eric Hamilton Insurance.
If you will be trading under your own name, Eric Hamilton or your legal business name, you don’t need to register however, if you want to trade under a particular name, you need to have it registered as a business name.
You would also then need to apply for an Australian Business Number (ABN). When you register a business name with Australian Securities and Investments Commission (ASIC), it will be shown as a “registered business name” against the associated ABN on ABN Lookup. The ABN Lookup contains a list of all Australian Business Numbers (ABNs).
For more information on how to register a business name, visit https://asic.gov.au/for-business/registering-a-business-name/