Prof Georgina Randsley de Moura will remain the interim leader of Kent until the merger, when Prof Jane Harrington, who runs Greenwich, will become the vice-chancellor of the new institution.
Prof Randsley de Moura said the "trailblazing model" would enable the universities within the new group to retain their name, identity and campuses.
Prof Harrington said the universities had worked together on the Medway campus for 20 years and now wanted to go further to contribute to the economy across London and the South East.
"This is about taking the best of both universities and saying what do we want to offer to our communities," she said.
