The conversion of an amine to an olefin by elimination of the nitrogen atom and an adjoining hydrogen atom is a useful procedure for degradation and synthesis. The Hofmann exhaustive methylation method has been used most often to bring about change, but other methods as the thermal decomposition of amine oxides and the pyrolysis of amine phosphates or acetyl or benzoyl derivative have often been employed to advantage. This chapter reviews the Hofmann elimination because of its extensive history. Alternative methods are considered.