With the qualification, Egypt became the second African country to qualify for the 2018 World Cup in Russian Federation, with a 2-1 win against Congo in Alexandria.
The Congolese almost ruined Egypt's World Cup hopes, after Boukah Moulou cancelled Mohammed Salah's 64th minute goal in the 87th minute.
Arnold Bouka Moutou was the scorer for Congo late in the game.
Egypt has qualified for next year's World Cup in Russian Federation after beating Republic of Congo 2-1 at home on Sunday.
Bradley was appointed as Egypt manager in September 2011, hoping to lead Egypt to their first World Cup appearance since 1990.More news: OJ Simpson reveals what he plans to do after release
More news: Hurricane Maria could hit United Kingdom at weekend, forecasters say
More news: Federation Internationale de Football Association poppy ban to be lifted for United Kingdom home nations
A scoreless first half raised the nerves in Alexandria but Salah's first of the night put one Egyptian foot in Russian Federation.
The Liverpool star had broken the deadlock just after the hour on a tense night in Alexandria as he latched on to Mohamed El Nenny's pass before poking home from close range.
But a late penalty from Salah ensured Egypt will be in Russian Federation, making them the second African nation to qualify after Nigeria's nervy win on Saturday against Zambia.
The desperation to qualify was so great ahead of the Congo match that Argentina-born Egypt coach Hector Cuper admitted he was taking medication for high blood pressure.
With the clock ticking down in stoppage time and a victory desperately required, Salah invoked memories of Emad Meteb's famous last-gasp header against Algeria in 2009 when he sent the keeper the wrong way from the spot after substitute Mahmoud Trezeguet was hauled down in the area.