The premise is inverted. The original World Trade Center towers (1973–2001) were taller than the Eiffel Tower:
One World Trade Center (2014, "Freedom Tower"): 541 m (1,776 ft) — tallest in Western Hemisphere.
The Eiffel Tower was the world's tallest structure 1889–1930 (Chrysler Building surpassed it). The WTC towers held the record 1971–1973 (surpassed by Sears/Willis Tower).
Height rankings change; the Eiffel Tower remains the most visited paid monument.