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One of the basic provisions of the system approach is that, on the one hand, the object in question is represented by a system of models, on the other hand, it is considered as an element or component of another, more common system. The economic interpretations of optimizing the activities of the tax authority are highlighted: optimizing costs and results, optimizing the level of predictability, optimizing labor productivity, etc. They allow different mathematical concepts, for example, optimizing costs and results can be represented by their difference or their ratio. The success of the creation and implementation of the optimization program is determined by taking into account all significant factors affecting the activities of the tax authority and its results. To identify all factors, a set of dichotomous classifications of factors has been proposed: static-dynamic, internal-external, etc. The selection of significant factors is based on attributing them to one of three classes: a) contributing to optimization; b) impeding optimization; 3) do not affect the optimization. The following is estimated: 1) direct and indirect influence; 2) momentary and ongoing; 3) predictable and unpredictable; 4) with increasing and weakening effect. On this basis, an economic-mathematical model has been developed to optimize the activities of the tax authority.

The systematic approach to optimization of activity of the tax authorities