Planning consent has been granted for the first £2m centre on the Segensworth industrial estate in Hampshire.
The innovation centres will operate under the brand name Start. They are being developed with St John's Innovation Centre, a subsidiary of St John's College Cambridge.
Tartan said the centres would be prefabricated in accordance with the Egan doctrine.
Roger Perrin, an architect and managing director of Tartan, said: "A standard product will allow quality to go up and costs to go down. I hope we can prove that Egan theory can apply to everyday buildings, not just one-offs."
The centres, typically 2600 m2, are to be built on business parks. In each building, a four-strong management team will provide business support expertise and links to local and university networks.
The buildings are designed by Tartan's architectural subsidiary, with Connell Mott MacDonald as consulting engineer. Davis Langdon & Everest is quantity surveyor and RG Carter is main contractor.