The local authority and the Scottish Government are to fund £8.2 million of works to the building, including a new roof and further developments.

Kelvin Hall is to re-open at the end of the summer as one of the UK’s biggest museums and research centres following a £35m revamp led by Barr Construction.

The building recently housed a sports arena and Glasgow’s Transport Museum.

It will now house 1.5 million pieces from Glasgow’s civic collection and Glasgow University’s Hunterian Museum.

The venue will also house the National Library of Scotland’s Moving Image Archive and have a new role as a cultural, research and training centre.

The project is a joint partnership between Glasgow University, the Hunterian, Glasgow Museums, the National Library of Scotland and Glasgow Club.

Glasgow City Council said that by approving its £6.2m share of the second-stage funding, work could now forge ahead.

Council leader Frank McAveety said: “Kelvin Hall has long been one Glasgow’s most iconic landmarks.

“With the first phase of works set to be complete later this summer, when an exciting new shared sporting, cultural and academic development opens its doors to the public, we are now forging ahead with the next stage of the project.

“Glasgow is Scotland’s sporting, cultural and academic powerhouse and the redevelopment of the Kelvin Hall will help us build on that position in the months and years to come.”

Kelvin Hall opened as an exhibition centre in 1927 and was used for musical performances before becoming a sports arena and home to Glasgow’s Museum of Transport.

Over the years it has hosted major sports events including the 1990 European Indoor Athletics Championships.

The planned second phase of redevelopment will turn a 16,000sq m hall, once occupied by the Transport Museum, into a new home for the Hunterian museum by 2020.