Both teams finished third in their groups in Asian qualifying. The winner will advance to an intercontinental playoff against Peru, also in Qatar.
Paris Saint-Germain forward Lionel Messi will spearhead Argentina's squad for next month's World Cup 2022 playoff against Italy.
Egypt started the playoff at breakneck speed at Cairo International Stadium and the own goal from Ciss came in the fourth minute.
After a cagey first half, the game unravelled for Honduras when Jedinak, struck three times in the last 36 minutes.
The Syrians are still in contention to qualify for the World Cup for the first time, and the journey to their biggest match so far has captured domestic and international attention.