The two natural gas cycle aero-derivative combustion turbines will produce energy that can power around 80,000 homes.
El Paso started the construction on the two units in In June 2014, after receiving regulatory approvals from the Public Utility Commission of Texas, New Mexico Public Regulation Commission, Texas Commission on Environmental Quality and the US Environmental Protection Agency.
El Paso Electric CEO Tom Shockley said: "Several years ago, we began planning and investing to replace our less efficient plant and equipment while providing additional resources for our growing service territory.
"The completion of our major construction projects, including our clean burning natural gas units and utility-scale solar generation, will efficiently provide the power necessary to meet the growing needs of our region."
The company plans to begin the construction on the second phase of the project, that will include three and four units, in the second half of the year.
The four 88MW turbines will provide electricity to around 160,000 homes and add 352MW clean burning natural gas power, once the third and the fourth units become fully operational in 2016.