Anthony Gordon put England ahead in the 55th minute but Enzo Fernández equalised 30 minutes later from a Lionel Messi assist, and Lautaro Martínez headed in the winner in stoppage time, again from a Messi cross.
Argentina will have a chance to become the first team since Brazil in 1962 to win back-to-back World Cups after Messi, 39, once again dragged his team to victory.
The South Americans will face a Spain team in the final who beat France 2-0 in Tuesday’s semi-final.
The Spain-Argentina final will be played at 9pm (Madrid time) on Sunday July 19th.
It will be available to watch on Spanish public broadcaster RTVE’s main channel, La 1.
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Spain has a population of at least 450,000 Argentinian residents, thought to be even higher when counting those who have Italian or other European passports.
With additional reporting by The Local Spain’s editor Alex Dunham