Abstract: Method and apparatus with data collection and preprocessing subsystems interconnected by a network, carry out open and secret votes, referenda and public opinion polls. A payment system with communication environment is used with the subsystems and network. A poll data processing center for final processing of the data is connected to the subsystems by the communication environment. Software of the payment system includes functions for carrying out votes, referenda and public opinion polls, for preprocessing the data, for encrypting and decrypting the data, and for placing the data into information blocks to carry out the votes, referenda and polls. To exchange electronic messages containing these information blocks between the subsystems and the processing center, the software of the center includes functions for exchanging the messages, for decrypting the blocks and for accumulating and analyzing the data in the blocks.