The redesign and refurbishment of JS Gibson's Grade II-listed building on Parliament Square in central London will create a new court and Supreme Court library and restore original light wells.
Existing historic court rooms will also be upgraded and public access enhanced. The project is scheduled for completion in late 2008.
The scheme, awarded in April last year to lead architect Feilden + Mawson, with Foster and Partners as consultant architect, has been developed in consultation with the 12 current Law Lords.
Plans were submitted to Westminster City Council yesterday by the Department of Constitutional Affairs, and the designs will be officially unveiled on Monday.
Lord Falconer, Secretary of State for Constitutional Affairs and Lord Chancellor, said: 'The design offers an exciting opportunity to reinvigorate a historic London building.
'We plan to deliver a world-class court building that properly meets the requirements and expectations of the public, the Law Lords, the legal profession and court users and is an appropriate home for the United Kingdom Supreme Court.'
Middlesex Guildhall's existing Crown Court work will be relocated elsewhere in London while building work ensues.