The article provides a brief review of the condition of migration situation in the world and specifically in Russia. The author analyzes ways of improving the existing methodological, statutory and regulatory adjustment of operational-search resistance to foreign citizens’ crime. The authors believe operatively-search method should be geared not only to achieve optimal results. A prerequisite is its adaptability to evolving criminal or other situation in which the whole system is used available forces, means and methods of operational-investigative activity. The author proves the necessity of developing and implementing special methods of operational-search provision of solving different crimes in operational-search activity. This lets legally use to the maximum the available range of public and non-public forces, means and methods of solving crimes effectively and economically. The article offers a structure of a special method of operational-search provision of solving murders and intentional grievous bodily harm, committed by foreign citizens.