The existence of the Local Parties in Aceh was officially and legally recognized, in line with the signing of the MoU (Memorandum of Understanding) between the Government of the Republic of Indonesia and the Free Aceh Movement (GAM) which was then stipulated in Law No. 11 of 2006, which is one form of specificity possessed by Aceh Provision. Where technically regulated in implementing regulations Government Regulation No. 2 of 2007. According to the facts from several previous elections that the electability of the local party continues to decline, thus raising the problem formulation of how the relationship between local parties and the constituents from a political perspective law point of view. The results showed that basically the mechanism of relations between political parties and society was simple: political parties needed voters to vote in general elections. Therefore, political parties are forced to pay attention to the wishes of the voters before making decisions regarding party programs and policies. The advice given is that political parties must prioritize the interests of constituency voters in setting strategic party policies so as to increase the dominance of party votes. Keyword: Political Law, Local Political Parties, Constituency voters.