Islam in Djibouti has a long history, first appearing in East Africa during the lifetime of Muhammad. Today, 96 percent of Djibouti's 490,000 people are Sunni Muslims adhering largely to the Shafi legal tradition. In addition, many belong to the Qadiri, Ahmadi, and Salihi Sufi orders. After independence from France (1977), the republic constructed a legal system based on French jurisprudence, customary practices, and Islamic law.

Source  :  http://en.wikipedia.org/wiki/Islam_in_Djibouti