Stephens was the focal point of a almost two-day nationwide manhunt after shooting and killing 74-year-old Robert Godwin about 2 p.m. on Easter Sunday, police said.
1News US correspondent Rebecca Wright told Nadine Higgins police say he shot himself after a brief police pursuit.
"We would have liked to have brought Steve in peacefully and really talked to him about why this happened".
Cleveland man Steve Stephens posted a video of himself killing 74-year-old Robert Godwin Sr., who was picking up aluminum cans on Sunday after spending Easter with his family.
The incident was the latest grisly crime posted on Facebook, reviving questions about videos posted on the world s largest social network, and how - or if - they can be monitored.
Reported sightings of Steve Stephens in Philadelphia, Pennsylvania, flooded in to police yesterday.
Cleveland Police issued an aggravated murder warrant for Stephens, as well as a $50,000 reward for information leading to his capture.
Pennsylvania State troopers hit Cleveland Facebook killer Steve Stephens' vehicle from behind in order to stop him, a witness said. Zuckerberg said Facebook is launching a review for reporting harmful content.
The grisly footage showed Stephens approaching Godwin Sr., apparently at random, in the Glenville neighborhood of Cleveland and shoot him in the head after telling him to say, "Joy Lane", the name of Stephens' ex-girlfriend.
Rumors that Stephens' phone pinged in the Erie, Pennsylvania area surfaced Monday, but Pennsylvania State Police said in a news conference Tuesday that they "had no direct knowledge" of that.
She also said Stephens was "a nice guy" who was good to her and her children. Since then, he led authorities on a nationwide search that ended when he shot himself dead.