It also narrowed the scope of the controversial investor-state dispute settlement clause, he said.
The clause allows companies to sue governments for changing policies if it harms their investments.
Trade Minister Steve Ciobo says the agreement eliminates more than 98 per cent of tariffs in a trade zone with a combined GDP of $13.7 trillion.
Under the TPP, Australian exporters will benefit from new agreements with Canada and Mexico and greater market access to Japan, Chile, Singapore, Malaysia, Vietnam and Brunei.
Read more: Ardern says re-branded TPP 'not perfect but better than what we had'
There's also a better deal for exporters of Australian cheese and beef to Japan and new quotas for rice and wheat.
Australian sugar producers will also have better access to Japan, Canada and Mexico's markets.
Opposition trade spokesman Jason Clare said Labor would support the agreement if it's good for Australian jobs.
The 11 countries involved are Australia, NZ, Brunei Darussalam, Canada, Chile, Japan, Malaysia, Mexico, Peru, Singapore, and Vietnam.
US President Donald Trump surprisingly flagged the possibility of re-joining the TPP last month.
Prime Minister Malcolm Turnbull may discuss the deal with Trump when the pair meet in Washington later this week.