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The congress or the legislative body of the government can use casting vote in case of a tie.
The Vice President of the US votes to break the tie. In Article 1 Section 3 of the Constitution it says that the Vice President becomes the President of the Senate, but has no vote, unless there it a tie.
Vice president.
John Adams holds the record for number of tie-breaking votes. He cast 29 votes while he was Vice President. Vice President John Calhoun is second with 28 tie-breaking votes.
Under the Senate's rules, a bill has to receive a majority (meaning more than half) of the votes to pass. Therefore, if there is a tie and there is no Vice President to break the tie, the bill fails because is has not received a majority. A previous answer asserted that the President Pro Tempore would break the tie--however, the President Pro Tem is a Senator and therefore would presumably have already voted.