Cllr Peter Lidstone will use a full council meeting on Wednesday [September 26] to call on the authority to endorse a ‘people’s vote’.
Tunbridge Wells was the only constituency in Kent to see a majority of voters want to remain in the European Union at the referendum in 2016.
Local Remain campaigners recently released their own Tunbridge Wells passports in a tongue-in-cheek stunt to back their appeal for a second vote.
Cllr Lidstone, who represents St John’s ward, said: “The prospect of no-deal or a bad-deal is becoming increasingly likely.
“The public deserves the right to have the final say on whatever deal Theresa May’s government decides.”
Lib Dem opposition leader Cllr Ben Chapelard is expected to second the motion, which asks the council to state their concern about ‘the damaging effects that Brexit will have on local businesses, residents and local government’.
Britain is scheduled to leave the EU in March 2019. The people’s vote policy has not been endorsed by the Tory-run central government, so the prospect of the local party wishing to back it seems unlikely.