Ten years later, the Representation of the People Act granted women the right to vote. Following a path similar to Britainâs, many countriesâDenmark, Iceland, the USSR, the Netherlands, Canada, Austria, Czechoslovakia, Poland, Sweden, Germany, Luxembourg, the United Statesâhad granted the vote to women by 1920.he suffrage movement in the United States gained prominence with the first womenâs rights convention in the world: the Seneca Falls Convention in 1848.