Rohler, from Germany, made a 88.26m throw in his second attempt and finished fourth while Beijing worlds victor Yego was eliminated after the first three rounds. Washington will get a gold medal.
"I gave it everything", said Farah, who is moving up to the marathon.
"Mo has many victories but now I have one".
Farah, who had already won the 10,000m last week, had not lost a final in 2,176 days, and collapsed to the track after the race and covered his face before being hauled to his feet. Defending champions Jamaica clocked 42.19 for the bronze.
The 34-year-old couldn't hide his disappointment after crossing the line in the race, which took place in the same stadium in which he won two Olympic golds five years ago.
He had been hoping for one final coronation in front of an adoring home crowd.
Pamela Dutkiewicz of Germany secured the best result of her career with bronze medal in 12.72.
"It's been wonderful. It's been a long journey but it's been incredible", said Farah who was embraced by his fans as he made his way around the stadium on a lap of honour. Germany's Rico Freimuth, bronze victor two years ago in the Beijing worlds, took silver in 8,564 points and his compatriot Kai Kazmirek won bronze in 8,488.
Predicted line up versus Stoke City
A superb save from Pickford, denying Xherdan Shaqiri in the closing moments, ensured Rooney wasn't denied his winning return. Stoke manager Mark Hughes: "Everyone is fed up of friendlies, and we just all want the season to start now".
Australia axes Western Force from Super Rugby
Clyne and ARU chief executive Bill Pulver were due to hold a press conference to discuss their decision in Sydney later Friday. Every Australian team lost more than they won in 2017 and for the second-straight year no local side made the semi-finals.
US consumer prices up slight 0.1 percent in July
The annual inflation rate as measured by consumer prices has been moving down since the winter after climbing above 2 percent. Over the past 12 months, wholesale prices are up a moderate 1.9 percent, while core prices have risen 1.8 percent.
Officer shot by armed suspect ignoring orders in SC
James Dunne, an emergency room physician, testified that a bullet completely severed a vein in Smith's neck. I'm hit in my neck someplace, my arms are broken, help me please", he implores as his voice gets weaker.