An important feature of the modern economy is the predominance of cashless money in the monetary circulation. Cash is still used in monetary circulation, but according to many researchers, there is a general tendency to replace it by cashless money. At the same time, the research of the cash requirement is useful for the analysis of the money market, the formation of the broad money and the evaluation of the effect of multipliers in the economy. This makes it possible to assess changes in the level of consumers` welfare. Currently most of researches are focused on the impact of the digitalization of the economy on the money circulation, and this primarily contributes to an increase in cashless payments. Research on the role and prospects of the development of cash circulation in the modern economy is not enough, which, in fact, are the views of the author.