States members agreed the island should go to the polls in three months' time in order to fill the vacancy left by Richard Cox, who resigned in April.
An original by-election, scheduled for June 28, failed to attract any candidates.
Frank Dean suggested the States issue a job description to help encourage candidates to come forward, while Bill Walden suggested islanders were being put off standing by "destructive and irresponsible reporting".
Mr Walden, the only States member to vote against the by-election proposal, said: "It is quite possible there are different reasons for people not standing. Payment may be one of those but there are others, one of which is the destructive and irresponsible reporting by members of the media."
Mr Walden went on to say he couldn't support the proposal as the by-election would be held just weeks before a general election, when five seats on the States will be up for grabs, including his own.
Earlier in the evening, members voted unanimously to spend £349,000 on modernising Alderney's potable water catchment system. A proposal will now be issued to Guernsey States for authorisation.
The Guernsey Bereavement Service has made three visits to Alderney over the past few months and would like to continue to help you. We are visiting the island again on
Tuesday, 23rd February 2024 and would invite anyone who feels they would like Bereavement Counselling to telephone the Bereavement Service Office on 257778 to make a time to meet one of our counsellors.