The extensive use of electronic and mobile money causes additional risks, which complicates the work of electronic money issuers (EMIs) and the functioning of payment systems. The paper aims to investigate operational risk management in the process of using electronic and mobile money. A classification of operational risk types was carried out and the forms of their manifestation in payment systems using electronic and mobile money were characterized. The list of key risk indicators has been compiled to assess the operational risk factors of payment systems using mobile and electronic money; a classification of costs (losses) as a result of the implementation of operational risk events is proposed, dividing them into direct and indirect. Based on the statistics of the International Monetary Fund and the National Bank of Ukraine, the use of electronic and mobile money in certain countries of the world is analyzed. The results on the intensity of electronic money use are presented, and the value of the electronic money multiplier in Ukraine is calculated. To improve operational sustainability of EMIs, a general scheme for organizing the operational risk management process in payment systems using electronic and mobile money is presented. Particular attention is paid to the regulatory and supervisory measures aimed at supporting the operational sustainability of EMIs and payment systems under their control. The issues discussed in this paper are relevant for the debate directed at the implementation of balanced approaches to operational risk management in the process of using electronic and mobile money in developing and emerging economies.