The invention provides a current control method and device for an off-grid energy storage converter and relates to the technical field of power systems. The method includes the steps of obtaining an IGBT side current and a micro-grid side current through current sampling; judging whether the IGBT side current and the micro-grid side current are smaller than a first preset current limit value and a second preset current limit value respectively; determining that an impact load has access to the off-grid energy storage converter and obtaining the time span of impact load access if the IGBT side current is larger than or equal to the first current limit value or the micro-grid side current is larger than or equal to the second current limit value; determining a first protection strategy of the off-grid energy storage converter according to the time span, and operating the off-grid energy storage converter according to the protection strategy to control an impact current of the off-grid energy storage converter. The current control method and device can solve the problems that when a current off-grid energy storage converter operates in an off-grid mode, operation is instable during impact load access, unnecessary shutdown faults are likely to occur, and even damage is caused.