Dozens of residents who live within the footprint of the proposed wind farm had aggressively opposed the plan, saying the turbines would wreck their property values and present health threats.
The majority of board members say the wind farm project will serve the greater good.
Disappointed opponents are contemplating a lawsuit.
"Right now I can tell you a lot of us are fighting mad. We'll proceed with that," said Mell Hass, wind farm opponent
"We're pleased with the vote tonight. We're excited to get going and bring this half million dollar investment to Lee and Dekalb Counties," said Steve Stengel, Nextera Energy.
Nextera Energy says it hopes to have the turbines up and running by the end of this year.