The result means Germany are out of the World Cup.
A below-par Germany bowed out of the FIFA World Cup, just four years after winning the competition, after a late 2-0 defeat to South Korea.
Goals from Ju Sejong and Son Heungmin gave the Koreans a shock victory. The result now means that the reigning World Cup holders finished bottom of their group.
German nerves showed in the first half when Manuel Neuer fumbled a routine save as Woo-young hit a free-kick at the Bayern Munich shot-stopper.
In the earlier moments of the second half, Kimmich found Leon Goretza who saw his point-blank header saved by Jo Hyeonwoo. Moments later, Timo Werner dragged his shot wide after a neat passage of play.
The South Korean defence remained resolute. Germany were finding clear-cut chances hard to come by. Joshua Kimmich crossed in once again, but Mario Gomez's header was straight at the goalkeeper.
As Germany began to throw bodies forward, Son Heungmin almost scored on the counter-attack, but his effort whistled just past the post.
Mats Hummels had a glorious opportunity to score, but he headed it over from Mesut Ozil's cross. Toni Kroos then forced Jo Hyeonwoo to dive down to make a save.
In stoppage time, substitute Ju Sejong found the ball at his feet and he prodded it home past Manuel Neuer, after VAR judged him to be onside, following Kroos' touch.
German keeper Neuer was off his line and Son Heungmin was there to score in front of an empty net.
Five takeaways from the match
They had most possession in both halves but had nothing to show for it. A few chances at Jo Hyeonwoo's goal, but only Leon Goretzka's chance forced him into any real save. Possession doesn't win you games, goals do.
Much was said about the absence of Manchester City's Leroy Sane, who wasn't named in the squad. Would Germany have faired better with more exciting players?
Patient Korea deserved their victory
They may have been under the cosh for a majority of the game, but Korea were deserving of their victory. It came in dramatic fashion, but they were the side that forced more out of the opposition goalkeeper.
The hosts are out
Only Brazil, who won the World Cup in 2002, have then got past the group stages. Other than that, Germany join France of 2002, Italy of 2010 and Spain of 2014, of Group winners who have been knocked out at this stage, after winning the competition.
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