The project, the Plains & Eastern Clean Line, is considered as the first overhead high voltage direct current (HVDC) project in the US in over 20 years.
As part of the contract, GE will provide HVDC converter stations for the project, which will delivery 4,000 MW of low-cost, clean energy from the Oklahoma Panhandle region.
It is expected to power over one million homes in Arkansas, Tennessee, and other states in the Mid-South and Southeast.
GE Energy Connections president and CEO Russell Stokes said: "Our exclusive agreement to provide HVDC technology for the Plains & Eastern Clean Line Project will pave the way for substantial growth in the U.S. renewable energy industry."
Construction of the project is expected to begin in the second half of 2017.
In March 2016, The US Department of Energy (DOE) approved the $2.5bn Plains & Eastern Clean Line energy transmission project.
The DOE said it will partner with Clean Line on the project under Section 1222 of the Energy Policy Act of 2005, but it will be funded by private investment.
Oklahoma Governor Mary Fallin said: "Our Oklahoma First Energy Plan advocates an all-of-the-above energy strategy, and we are proud to see GE once again involved in an effort that will ensure Oklahoma continues to be a leader in all energy production for decades to come."
The contract marks the first HVDC project for GE in the US after the purchase of Alstom's energy portfolio last year.
Image: The Rio Maderia converter station Brazil. Photo: Courtesy of GE