The Hobart City Council passed a motion on Monday to make it Australia's first single-use plastic free city by 2020.

Plastic Free Launceston spokesperson Trish Haeusler said Northern Tasmanian businesses are showing initiative when it came to banning single-use plastics.

"We've just noticed so many people have taken that [banning plastic] up," she said.

"Not just because of our initiative but they've just taken it up themselves."

Ms Haeusler said she had been in contact with the City of Launceston about proposing the council ban single-use plastics at sponsored events.

"We did give them a copy of that [proposal] but eventually we'd like to see a full ban across the city," she said.

Ms Haeusler said that because of the efforts by businesses to reduce single-use plastic waste, enacting a city-wide ban would not be difficult and probably quicker than coordinating a statewide effort.

"Who knows how long it would take for a statewide ban on it," she said.

"This is a slow process and plastic is exponential in it's growth so we don't want to be putting this problem off for too long."

City of Launceston general manager Michael Stretton said the council has not yet considered making Launceston single-use plastic free.

"We've been watching the discussions in Hobart with great interest and we'll continue to do so," Mr Stretton said.