The United States Constitution gives the Senate the power to expel any member by a two-thirds vote.
[1] This is distinct from the power over impeachment trials and convictions that the Senate has over executive and judicial federal officials: the Senate ruled in 1798 that senators could not be impeached, but only expelled, while debating the impeachment trial of William Blount, who had already been expelled.
Censure, a lesser punishment which represents a formal statement of disapproval, has been more common since the start of the 20th century.
In most cases, the expulsion failed to secure the necessary two-thirds vote, in other cases the senator in question resigned while proceedings were taking place, and some proceedings ended when a senator died or his term expired.
Federal politicians: State and local politics: