The article presents a description of the genre system of the executive written discourse. The paper considers viewpoints of specialists in genre studies on the criteria for classifying genres. It presents speech genres typologies on the inter- and extra-linguistic bases according to: communicative intention, type of activity, specificity of the audience, etc. Through the analyses of various conceptions, the author comes to the conclusion that a complete modeling of a genre system is possible only if a number of factors is considered.