Serious allegations had been made against the 50-year-old, which he denied.
After an internal investigation, Red Bull’s board dismissed the complaint last week.
“The company cannot comment on this internal matter,” a spokesperson said.
A day after Red Bull dismissed the complaint, an anonymous email including messages purporting to involve Horner were leaked.
Speaking at last week’s Bahrain Grand Prix, Horner refused to say whether the messages leaked were genuine.