The original motion put to the council by Cr Hannah Rubenach was amended by Cr Margaret Osborne and Cr Janet Drummond and passed 6-3 yesterday.

The council is the latest in a list of Tasmanian councils to show their support for further investigation into its uses and production.

Since the state government refused to support a recommendation from the Legislative Council that it move to decriminalise medicinal cannabis last November, little had been said on the issue.

Cr Rubenach said that while disappointed her original motion did not get up, she was pleased that the amended "watered down" version was passed.

The councillor has been open about growing and supplying cannabis to help alleviate her brother's seizures brought on by a childhood brain injury.

She said using it, he could go almost 10 days now without suffering a seizure, he could walk, feed himself and watch a DVD.

"He's 100 per cent different," Cr Rubenach said.

She said community members began contacting her after neighbouring Dorset Council passed a similar motion last year.

Cr Rubenach said there remained many grey areas for people using cannabis, administering it to loved ones, growing it or transporting it.

Mayor Mick Tucker, who voted against the motion with Cr John McGiveron and Cr John Tucker, said that in his personal opinion the council's role was not to try and change federal government policy on making illegal products legal.

"Whilst I personally was against it, I fully support, as a mayor, this decision process," Cr Tucker said.