British Olympic Association spokesman Darryl Seibel says "highly offensive and altogether unacceptable tweets" were sent to Daley, after he missed a medal in the 10-meter synchronized platform competition on Monday with teammate Pete Waterfield.
Seibel says the team "immediately" contacted Twitter's management who removed the messages "very, very quickly."
He says Twitter's "responsiveness to our reaching out was something we appreciated."
BOA chief executive Andy Hunt says 18-year-old Daley "was not affected" by the tweets.
Daley is one of Britain's highest profile athletes at the London Olympics.