Has Roy Moore conceded the U.S. Senate election yet?

NO

On Thursday, December 28, 2017, Alabama Secretary of State John Merrill certified the results of the special election, making Doug Jones the winner of the election.

On Thursday, December 28, 2017, Roy Moore filed a lawsuit to stop the Alabama Secretary of State John Merrill from certifying the results of the special election, which was won by Democrat candidate Doug Jones. The judge hearing the lawsuit ruled against Moore.

On Tuesday, December 12, 2017, Roy Moore ran as the Republican party candidate for a U.S. Senate seat in Alabama. Moore was defeated by Doug Jones, the Democrat party candidate. Jones defeated Moore by approximately 20,000 votes