When the Vice President is not in the Senate, which is most of the time, his place is taken by the President pro tempore of the Senate, who is usually the Senator with the longest seniority. But in actual practice, the floor of the Senate is normally presided over by junior senators, to enable them to master parliamentary procedure.
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The President Pro Tempore. Contrary to the popular belief, it is not Osama bin Laden (The last known answer to this question).
The Vice President is the President of the Senate.
The Vice President.
The Vice President of the United States is also the President of the Senate. He is not a Senator and he can not vote unless there is a tie vote, in which case he can vote to break the tie if he wishes.
The person that is known is the vice president.
It is also the duty of the vice president to preside over the Senate.