This paper tackles the Algerian-Moroccan rivalry over the position of central state in North Africa and explores the stages of the Algerian-Moroccan conflict. According to the author, the rivalry between these two Arab neighbors over the position of “unitary state” is the main factor behind the tense relations between the two states, tension that inevitably affects the action plan of the Arab Maghreb Union. The relative balance of power between Algeria and Morocco explains why the conflict is centralized between them rather than other states of the Arab Maghreb. Libya, Tunisia and Mauritania are well aware that they do not have the qualifications to occupy the position of “unitary state”.