(CNN) Alabama has executed Walter Leroy Moody, 83, who had been convicted of murder for the mail bombing death of a federal judge in 1989.

Moody is the oldest person put to death since the Supreme Court reinstated the death penalty in 1976, according to figures compiled by the Death Penalty Information Center.

Earlier Thursday, the Supreme Court denied the appeals from Moody's attorney after temporarily delaying his death by lethal injection.

Moody was convicted in 1996 for the murder of federal Judge Robert Vance in Birmingham, Alabama.

"Moody has spent the better part of three decades trying to avoid justice. Tonight, Mr. Moody's appeals finally came to a rightful end. Justice has been served," Alabama Attorney General Steve Marshall said.

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