With DPR Korea having already taken the top spot, Iran's hopes of advancing depend on the outcome of all 10 groups, with the best five second-placed sides to also advance to the Finals.
Iran started on the front foot and took the lead through Jordan captain Karzg Shadi Alqasem's 15th minute own goal at the Prince Mohammed Stadium, Zarqa.
Jordan defender Nour Aldeen Amro leveled the score in the 37th minute with forward Mohammad Mustafa Aburomeh putting them ahead three minutes later.
Iran defender Abolfazl Kazemi netted the equalizer in the 71st minute and Salman Ghafari (77th) and Mehrdad Agha Mohammadi (90+4, penalty) added to more goals to seal 4-2 win for Iran.