Election system enabling coercion-free remote voting wherein a remote voter transmits his/her selected vote to the election authority through a data transmission network such as the Internet network by using a host computer having a card reader, the vote being transmitted after the voter has introduced an identifying smart card into the card reader. At least one secret code is recorded into the smart card at the location of the election authority at the moment when the latter delivers the smart card, the secret code having to be input by the voter into the host computer when the voter wants to vote during an election in order for the vote to be transmitted to the election authority and validated by the election authority.