The former Observerarchitecture critic, who replaced Alice Rawsthorn earlier this year, will organise the show for next summer.
The show will come as Hadid's 20-year-old office reaches over 100 strong and its body of work becomes truly global.
It will appear one year after a major exhibition of Zaha's work at the Guggenheim Museum in New York, which received largely positive reviews.
The Design Museum says that it will be one of the largest shows ever put on by the Shad Thames institution, and will take up two floors.
For Sudjic the exhibition will represent a statement of how he sees his tenure going at the museum. Rawsthorn left under a cloud having rowed with the founder Terence Conran over curatorial policy.
'We are working on a programme that looks at the whole range of what design can be - monograph shows on major figures like Hadid, as well as exhibitions that offer a springboard for young talent', Sudjic said yesterday.
'We want to bring together fashion, graphics, product design and architecture, and show that they have a place at the heart of contemporary culture.'
Other shows in the pipeline include exhibitions on aircraft and motor designer Luigi Colani; a celebration of ten years of Matthew Williamson in fashion; and an exploration of 'The Art of War', which will look at the way design has worked through history in the extremis of war.