Officers had gone to the home after being told that Clark had called a friend and said his 59-year-old wife was dead, said Sgt. Gary Duesler said the Ector County Sheriff's Office.
Clark told investigators he had his wife pinned face down on a carpeted floor when she died.
Clark was charged with murder and remained in the Ector County jail on Sunday in lieu of $300,000 bail.
He had declined to comment at the jail and it was unclear whether he had an attorney to speak for him.
The woman's body was taken to the Tarrant County Medical Examiner's Office for an autopsy.
Taryn Beck said the couple had seemed to be close.
"They were like an old married couple," said Beck, 29, whose late grandfather was married to Susan Clark. "They would just roll their eyes at each other, but I never thought something like this would've happened."
