Disclosed are system and method for verification of data transferred among several data storages. An exemplary method includes: calculating first hash-sums of the data during an initial placement in a data storage; transmitting the first hash-sums to at least one blockchain network; detecting a transfer of the data to a new data storage; calculating second hash-sums of the data after a placement of the data in the new data storage; transmitting the second hash-sums to the at least one blockchain network; comparing the first and second hash-sums of the data; and determining data immutability after the transfer of the data from the data storage to the new data storage based at least on results of the comparing.