The development will be made up of 1,000 turbines, each with a 3MW capacity, giving it a total capacity far outstripping the world's current largest wind project, the 1GW Alta Wind Energy Centre in California.
Power Company of Wyoming, which is developing the project, has now been given consent by Wyoming Industrial Siting Council to start construction of the $5 billion project
The project is to be built in phases, with the work on the first 1.5GW stage set to begin before the end of the year. The second phase is due to start construction in 2019.
It will be located south of Sinclair and Rawlins in Carbon County, in the centre of the state. Wyoming currently has 1.4GW of operating wind capacity.
A turbine supplier for the project is yet to be announced.