The Tate also aims to complete the redevelopment of the Tate Britain, at Millbank, by modernising the rest of the original site and adding an extension at the rear of the building.
A statement from the Tate, seen by Building, said the £32m centenary development that was completed last year brought the south-west quadrant of the main building up to international museum standards.
It added that the next task was to upgrade the two quadrants that form the front half of the building.
The statement said: “The trustees also wish to provide at Millbank an architecturally distinguished and effective headquarters for the whole of the Tate organisation.”
A new north wing on the site is also to be built to provide another exhibition space and public facilities of equivalent standard to the Tate Modern on London’s South Bank.
The plan is aimed at completing Tate Britain architect Sir James Stirling’s original 1979 concept of creating a symmetrical courtyard between the museum’s Clore Gallery and a new wing behind it. A community liaison group has been set up so the project can be discussed with local parties.
In addition, the Tate is planning to build two six-storey residential blocks on the adjacent Queen Alexander military hospital site.
Westminster council planning officer Barry Ward said the Tate had sought endorsement from the council’s major planning applications committee on the detail within the masterplan. He told Building there was an issue over the height of the residential blocks.
The Tate Britain’s recent refurbishment involved extensive internal reconstruction to the designs of architect John Miller + Partners.