Kabbaj or al-Kabbaj or el-Kabbaj is a surname. Notable people with the surname include:
Fatima al-Kabbaj (born 1932), Moroccan religious leader Ikram Kabbaj (born 2004), Moroccan artist John Kabbaj (born 1973), English poker player Mohammed Kabbaj (born 1946), Moroccan politician Omar Kabbaj, Moroccan politician Nevine el-Kabbaj (born 1965), Egyptian politician Yasmine Kabbaj (born 2004), Moroccan tennis player