The aim of this paper is to explain some biopolitic’s shifts in texts by Jacques Derrida. In order to do this, first it is established a framework of understanding of the category of biopolitics and the difference between Foucault and Derrida about it. Secondly, it is shown the displacements produced by Derrida: a critique to the historical periodization, a deconstruction of negative biopolitics (showing the link to sovereignty) and a deconstruction of affirmative biopolitics (showing the constitutive link between life and death). This is all to say that there are two different ways to think of contemporary political thought.