Many majority- Muslim countries retain the traditional sharia , which interprets teachings of the Quran to permit polygamy with up to four wives. Exceptions to this include Albania , Tunisia , Turkey , and former USSR republics. Though about 70% of the population of Albania is historically Muslim , the majority is non-practicing. Turkey and Tunisia are countries with overwhelmingly Muslim populations that enforce secularist practices by law. In the former USSR republics, a prohibition against polygamy has been inherited from Soviet Law . In the 21st century, a revival of the practice of polygamy in the Muslim World has contributed to efforts to re-establish its legality and legitimacy in some countries and communities where it is illegal.