Teenager Dango Ouattara scored the only goal and was sent off as Burkina Faso surprised Tunisia to reach the Africa Cup of Nations semi-finals.
Ouattara, 19, ran onto Blati Toure’s through ball, held off two defenders and cut inside before firing in.
But he was then sent off in the 82nd minute for an elbow on Ali Maaloul.
The Stallions, who have never won the tournament, will meet the winner of Sunday’s BBC Two game between Senegal and Equatorial Guinea (19:00 GMT).
But they will be without Ouattara, now suspended after his late dismissal. It came after referee Joshua Bondo’s second trip to the monitor for a video assistant referee check in quick succession.
Minutes earlier, Tunisia were denied a penalty as Soumaila Ouattara caught Wahbi Khazri with a high tackle in the box after initially winning the ball.
Burkina Faso, who are ranked 60th in the world, have won all four Afcon quarters they have ever played including three in the past four tournaments. Tunisia, ranked 30th, have lost six of their past seven.
Kamou Malo’s side were hanging on at the end but the Eagles of Carthage, who beat Nigeria in the last 16, never really looked like equalising.
Khazri had two of their better chances, with a 30-yard free-kick tipped over the bar by Herve Koffi and a miscued shot from six yards going well wide.
Lorient forward Ouattara was the difference between the teams with his run from Toure’s midfield ball before lashing in just before the half-time whistle – although his late red card could well end his tournament.
The Burkinabe, who lost the 2013 final, had chances to win by more – albeit long before the late drama – with Cyrille Bayala denied by Bechir Ben Said when he had time and space in the box.
The final whistle, blown 15 seconds before the indicated amount of injury time was over, was met by wild celebrations from the Burkina Faso players.
Line-ups
Burkina Faso
Formation 4-2-3-1
- 16KoffiBooked at 44mins
- 9Kaboré
- 4Ouattara
- 12TapsobaBooked at 67mins
- 25Yago
- 24Guira
- 22Touré
- 20Sangaré
- 21BayalaBooked at 79mins
- 28OuattaraBooked at 82mins
- 2OuattaraSubstituted forKonatéat 72′minutes
Substitutes
- 1Sawadogo
- 3Traoré
- 5Malo
- 6Simporé
- 10Traoré
- 11Konaté
- 13Nikièma
- 15Tapsoba
- 17Sanogo
- 18Ouédraogo
- 19Bandé
- 23Ouédraogo
Tunisia
Formation 4-3-3
- 22Saïd
- 20Dräger
- 6Bronn
- 2Ifa
- 5HaddadiSubstituted forMaâloulat 45′minutes
- 25Ben SlimaneSubstituted forSlitiat 45′minutes
- 17SkhiriSubstituted forRafiaat 84′minutes
- 28LaidouniBooked at 47mins
- 10Khazri
- 11JaziriSubstituted forJebaliat 75′minutes
- 7Msakni
Substitutes
- 4Rekik
- 8Khaoui
- 12Maâloul
- 14Mejbri
- 15Ben Romdhane
- 16Dahmen
- 18Chaalali
- 19Rafia
- 21Mathlouthi
- 23Sliti
- 26Jemal
- 27Jebali
Live Text
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Match ends, Burkina Faso 1, Tunisia 0.
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Second Half ends, Burkina Faso 1, Tunisia 0.
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Foul by Youssef Msakni (Tunisia).
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Blati Touré (Burkina Faso) wins a free kick in the attacking half.
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Aïssa Bilal Laidouni (Tunisia) wins a free kick in the defensive half.
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Foul by Blati Touré (Burkina Faso).
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Corner, Burkina Faso. Conceded by Mohamed Dräger.
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Foul by Dylan Bronn (Tunisia).
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Blati Touré (Burkina Faso) wins a free kick in the defensive half.
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Foul by Mohamed Dräger (Tunisia).
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Blati Touré (Burkina Faso) wins a free kick in the defensive half.
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Offside, Tunisia. Youssef Msakni tries a through ball, but Ali Maâloul is caught offside.
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Offside, Burkina Faso. Cyrille Bayala tries a through ball, but Mohamed Konaté is caught offside.
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Hassane Bandé (Burkina Faso) is shown the yellow card.
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Corner, Tunisia. Conceded by Blati Touré.
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Substitution, Tunisia. Hamza Rafia replaces Ellyes Skhiri.
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Foul by Mohamed Dräger (Tunisia).
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Cyrille Bayala (Burkina Faso) wins a free kick in the defensive half.
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Dango Ouattara (Burkina Faso) is shown the red card for violent conduct.
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VAR Decision: Card upgraded Dango Ouattara (Burkina Faso).