New high-tech methods for making non-cash payments have appeared in the conditions of digitalization of economy (in systems of electronic payment and crypto currency, including the possibility of signing smart contracts). These methods satisfy the requirements of the Internet community: safety of storage and information processing in payment and settlement systems, low cost and high speed of transactions, simplicity and usability, possibility of carrying out payments for small sums in virtual space and others. Despite the absence of legal regulation of the circulation of new hi-tech payment tools, the number of transactions with their participation and the volume of the performed operations increases annually. At the same time, we can note that the traditional ways of non-cash payments fulfillment are still equally popular in the financial and economic sphere (by means of financial instruments in material form, at an office of the money transfer operator, in the system of remote bank service). We have considered the types of payment and settlement systems (traditional electronic and innovative digital). The result of comparative analysis of advantages and disadvantages of each type of systems is presented. We have characterized the forms of interaction of participants of non-cash payments with different methods of initiation of payment operations. On the basis of the obtained results, we have proved that introducing scientific and technical progress into all spheres of public life has promoted change of forms of interaction of participants of non-cash payments from personal contact to digital due to automation of financial processes. However, in the future, in the conditions of globalization of economy, decreased reliability of a world currency system, high level of cyber threats in the financial and economic sphere, intense geopolitical situation in the world, integrated use of traditional and innovative technologies in the sphere of payments and settlements both at the national level, and on the international scene is advisable for increasing reliability and efficiency of non-cash payments, counteracting money laundering, ensuring national and economic security of the country.