Philosophers pursue a number of different explanatory projects when explaining various sorts of normative phenomena. For example, they may seek to explain why the right acts are right or why the things that are good for us are so, explain what it is for something to be obligatory, or explain the source of reasons for action. This chapter takes some steps towards understanding this variety. I first lay some general ground about explanation, suggest that explanations that are appropriate in normative (...) inquiry are objective in a certain sense, and discuss the relevant notion of the normative. I describe some key axes of debate about the form and the content of explanations that first-order normative inquiry (such as normative ethics) typically seeks to state and defend, such as whether normative principles are essential to first-order normative explanation and whether first-order normative explanations work by highlighting what grounds the normative phenomena that are being explained, or by unifying them with other seemingly disparate normative phenomena, or in some other way. I then discuss the function of explanation in normative inquiry and the question of whether normative explanation might be pluralist in various senses. More briefly I discuss how two other sorts of normative explanation that seem more concerned with the foundations of normative domains like ethics and practical reason (such as the source of reasons for action) and with explicating or analyzing the natures of normative properties might be understood and how they relate to first-order normative explanations. (shrink)