The semi-final win was a stunning upset for Jordan, who are ranked 87th in the world while South Korea are the third-best team in Asia, 64 places above them.
South Korea had beaten Saudi Arabia and Australia in the previous two rounds but their star-studded side was unable to match a team that has only one player based in the leagues of western Europe.
That is Montpellier's Musa Al-Taamari, who scored Jordan's second. Yazan Al-Naimat, who plays in the league of hosts Qatar, had earlier broken the deadlock after a goalless first half in the Ahmed bin Ali Stadium.
Al-Naimat had scored in the 2-2 draw when the two teams met in the group stage and the 24-year-old was once again the tormentor-in-chief with his nimble footwork while  Al-Taamari's tireless running also bore fruit.
"The players delivered a heroic performance. The X-factor was we didn't need to give South Korea more respect than needed," Jordan's Moroccan coach Hussein Ammouta said.
"Based on their record in their last few games, they conceded goals and we knew it was possible to score against them, that was the turning point."
Jordan's Ahmad Juaidi (l) and Nizar Alrashdan celebrate their Asian Cup semi-final victory. (AP PHOTO)
In a goalless first half, Al-Naimat had the best opportunity to score for Jordan when he skipped past three defenders in the box, but his shot was hit straight at goalkeeper Jo Hyeon-woo who made a reflex save.
At the other end, Lee Jae-sung nearly opened the scoring for South Korea when Son Heung-min sent a cross into the box but the midfielder's header came off the post to give Jordan a reprieve.
Jordan found the breakthrough when Al-Taamari intercepted a poor back pass in midfield and found Al-Naimat with a defence-splitting pass for the forward to chip the ball over the keeper and score his third goal of the tournament.
Al-Taamari had been the busiest player on the pitch and he picked his moment to shine when he made a solo run past a static defence and curled his effort past the keeper to send Jordan's fans among the 42,850 in the arena into raptures.
South Korea coach Juergen Klinsmann had no answer to Jordan's press and fluid attacks as the German stood on the touchline stone faced, watching his team exit the tournament without a single shot on target in the match.
"Obviously we're disappointed. We had the big goal of playing in the final but Jordan deserves this win, they deserve to play in the final," Klinsmann said.
"They played more aggressively, they won almost every one-v-one battle and they got better."
South Korea had made a habit of scoring late goals in the tournament but there was no comeback this time as Jordan kept them at bay to book their place in the final, where they will face either Iran or hosts and defending champions Qatar.
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