Councillor Duce, who was chairman of Great Dawley Parish Council, died after a short illness with his family around him.
He had been a borough councillor since May 2011.
Telford MP David Wright, said: "Brian was not only a dedicated and hard-working councillor but someone it is an honour to have known."
In the early years of Tel-ford New Town, Councillor Duce was involved in transporting much of the heavy lifting equipment required to build the town. He was a school governor for a number of years and a founder member of Telford & Wre-kin Neighbourhood Watch.
Council Leader Kuldip Sahota, said: "Brian was a gentleman, a friend, and someone everyone in Tel-ford & Wrekin Labour Party and beyond will miss immensely."
A spokesman for Great Dawley Parish Council said: "Brian was a hard-working and dedicated councillor who even during his illness was working from his bed to ensure the Christmas events took place this year. He will be missed by all councillors and staff at the Parish council and our thoughts and love are with his family and his wife Pat."
Funeral details will be announced shortly.