The Secretary of the Senate, and the assistant secretary thereof, shall, respectively, have power to administer any oath or affirmation required by law, or by the rules or orders of the Senate, to be taken by any officer of the Senate, and to any witness produced before it.
Structure US Code
CHAPTER 2— ORGANIZATION OF CONGRESS
§ 22. Oath of President of Senate
§ 23. Presiding officer of Senate may administer oaths
§ 24. Secretary of Senate or assistant secretary may administer oaths
§ 25. Oath of Speaker, Members, and Delegates
§ 25a. Delegate to House of Representatives from District of Columbia
§ 26. Roll of Representatives-elect
§ 27. Change of place of meeting
§ 28. Parliamentary precedents of House of Representatives
§ 28c. Distribution of Precedents by Director of the Government Publishing Office
§ 29a. Early organization of House of Representatives
§ 30a. Jury duty exemption of elected officials of legislative branch