
Officials said the body was found just after 15:30 pm local time (20:30 BST) when two state troopers and two civilians ran into each other while searching for the suspect.
Officials say together they found the remains.
An unspecified weapon was also found at the site of the body, officials said.
Local community members and authorities had been searching the remote and rugged area near where the incident happened for more than a week.
“People have been in fear,” Laurel County Sheriff John Root said on Wednesday.
“That’s not the normal here in Laurel County, so now that this has been discovered, I hope that our county can get back to what’s normal.”
The area is about nine miles (14km) from the city of London in southeastern Kentucky.
Mr Couch allegedly struck a dozen vehicles travelling in both directions along the highway during the shooting spree.
While all five victims survived the attack, some suffered serious injuries, including one person who was shot in the face.
Text messages from Mr Couch sent shortly before the shooting indicated he planned to harm people, officials said last week.
“I’m going to kill a lot of people,” he texted, according to an arrest affidavit from the Laurel County Sheriff’s Office. “Well (I’m going to) try at least.”
Before he was found, officials offered large financial rewards for tips about his whereabouts.
Schools in the area were closed in the early days of the manhunt.
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