House members voted 78-3 for the measure Thursday and sent it to the Senate for more work.
The state Tax Commission says the measure will reduce wind-power tax reimbursements by local governing bodies by about $50 million as projects complete their exemption period and no new projects are added.
House members approved an amendment to name the measure after the late Rep. David Dank of Oklahoma City, who died on April 10. Dank originally proposed elimination of the wind energy tax credit.