The aim of the research is to assess convergence processes of a social-economic security indicator in Latvian municipalities and its components in the period 2011–2015, calculated as an integral indicator on the basis of primary statistical indicators. The relevance of the research is determined by the fact that social-economic security establishes not only the sustainable economic development of the country as a whole, but also the state of protection from internal and external threats. Municipalities, implementing their autonomous functions, are primary guarantors of social-economic security of the people. The convergence of social-economic security of municipalities implies the process of their convergence in time according to the values of the level of social-economic security.