The defender scored the only goal of the game to ensure his side emerged victorious from their play-off and booked their place at World Cup 2014
Vahid Halilhodzic's side were beaten 3-2 in Ouagadougou in the first leg of this African play-off, but a goal from the Fennecs captain two minutes after the break booked their ticket to Brazil.
The visitors created very few opportunities in a disappointing display, and they were left to rue what might have been as Algeria held on to spark scenes of celebration in Blida.
Mohamed Zemmamouche replaced Rais M'Bolhi in the Algeria goal as one of five changes from the first leg made by Halilhodzic.
Burkina Faso, meanwhile, made four alterations to their starting XI from the encounter in Ouagadougou, with Toulouse defender Steeve Yago among those coming into the side.
The visitors made the better start to proceedings and had the ball in the net inside two minutes, only for Charles Kabore's strike to be ruled out for offside.
Algeria slowly began to dictate play, though, and they should have taken the lead after 22 minutes when Islam Slimani headed wide from Faouzi Ghoulam's left-wing cross.
Chances were few and far between as Burkina Faso defended stoutly throughout the first half, although the hosts did test goalkeeper Daouda Diakite with a long-range effort from Yacine Brahimi on the stroke of half-time.
But just two minutes into the second half, Algeria took the lead to level the tie on aggregate, as Bougherra wheeled away in celebration after his effort appeared to have been diverted into the net by Kone following a goalmouth scramble.
Halilhodzic's men continued to pile on the pressure and they went close to finding a second as Slimani volleyed wide just before the hour mark.
Algeria restricted Burkina Faso's possession in the closing stages, with substitute Alain Traore's tame volley summing up the visitors' inept attacking performance.