FIFA has said the planned presidential election will go ahead in Switzerland on Friday despite the arrest of seven officials from football's world governing body, including vice-president Jeffrey Webb.
The arrests were made in the early hours of the morning in Zurich at a hotel near FIFA's headquarters.
The officials were charged with receiving millions of US dollars in bribes.
A separate criminal investigation into how the 2018 and 2022 World Cups were allocated has also begun.
"The indictment alleges corruption that is rampant, systemic and deep-rooted," said New York attorney general Loretta Lynch.
"It spans at least two generations of soccer officials who, as alleged, have abused their positions of trust to acquire millions of dollars in bribes and kickbacks."
Those arrested in a dawn raid at the prestigious Baur au Lac hotel were Webb, Eduardo Li, Julio Rocha, Costas Takkas, Eugenio Figueredo, Rafael Esquivel and Jose Maria Marin.
Sepp Blatter faces Prince Ali bin al-Hussein in Friday's election as he seeks a fifth term as FIFA president.
Fifa has been hit by allegations of corruption and wrongdoing in recent years.
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