Routh was found guilty of capital murder and received life imprisonment without the possibility of parole, reported People magazine.
He shot Kyle and his friend Chad Littlefield at a Texas gun range on February 2, 2013.
Littlefield's stepbrother Jerry Richardson read a statement to Routh in court, after the verdict was announced.
"Because of you and your irresponsible choices, we lost a great son, brother, father and uncle on Feb. 2, 2013," he said.
During closing arguments, Kyle's widow, Taya, could be seen with her eyes closed as she listened.
As the defence team argued its case, at one point Taya sat with her feet up on the chair and her head in her hands. She then suddenly stood and walked out of the courtroom, slapping the door with her hand as she left.
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