The Hexicon developed demonstration project will see two turbines installed on a single floating substructure 9km off Dounreay, northern Scotland
It was approved by the local Highland council last month, after its application was submitted in October.
Having gained the necessary approvals, the project can now proceed to obtain renewables obligation (RO) accreditation by the end of the month – the end of the grace period put in place when the UK government closed the support system earlier than originally planned.
"It will be a major boost for Scotland, as not only will this facility be constructed and maintained in Scotland, but it opens up the possibility for Scotland in leading the world in this technology," said the project's consents manager, Jack Farnham.
Under the terms of the RO system, Hexicon will need to make a final investment decision and then construct and begin operating the project by the end of September 2018.
It is the second floating project to be approved by the devolved Scottish government this month, following permission for the 48MW Kincardine project to go ahead.
The eight-turbine site off Scotland's east coast was originally set to use Principle Power's WindFloat platform.
Dounreay Tri will be Scotland's third floating project, with Statoil currently in the process of constructing the 30MW Hywind Scotland project.
Scotland therefore has 92MW of consented floating offshore wind capacity.
"This not only highlights our commitment to exploring this innovative technology, but offers real scope for the development of wind energy projects in deeper water, in Scotland and across the world," said Scottish energy minster Paul Wheelhouse.