Plastic shopping bags will be banned from Tasmanian shops and supermarkets, after a Government bill passed the state's Upper House.

South Australia, the Northern Territory and the ACT have already enacted similar bans.

The Tasmanian Greens are taking credit for the ban and say it would not have happened without the presence of Greens ministers in state cabinet.

The Premier Lara Giddings says the ban was Labor's idea too.

"The ban of plastic bags has been one which has been debated nationally with environment ministers, and our approach has always been to have a coordinated national approach to these issues," she said.

"Certainly it's also an issue that has been close to the heart of the Greens Party as well, but it is an issue that has been debated outside of the political Greens."

Opposition leader Will Hodgman says the Liberals also supported the ban.

"I don't think anyone should claim credit, the Tasmanian community are the leaders here," he said.

"We've had policies in the past at elections to implement such a scheme. I think all parties should just recognise that this is a win for the state."