Although ill-defined, censure is a process of Congressional reprimand--the political equivalent of a strongly-worded letter. In 1834, a Whig Senate censured. Democratic President Andrew Jackson in retaliation for his withholding documents. Three years later, a Democratic Senate expunged the censure from the record.However, that act of censure had no basis in either the Constitution or the Rules of the House and Senate.This remains true today. Ordinarily, Congressional disapproval of the President is relayed either through its legislative power including the veto override power or through impeachment.emocratic President Andrew Jackson in retaliation for his withholding documents. Three years later, a Democratic Senate expunged the censure from the record. However, that act of censure had no basis in either the Constitution or the Rules of the House and Senate. This remains true today.