Demands for a national ballot on the treaty have been refused by ministers.
However, campaign group Carp has used a part of the Local Government Act to stage a parish poll in East Stoke, near Wareham, next Thursday.
The outcome would not have any formal impact on government policy, but the group's aim is to increase pressure on ministers to hold a national vote.
In East Stoke, 339 voters will be asked to vote yes or no to the question, "Do you want a referendum on the EU Constitutional Treaty?"
Carp - Campaign Alliance for Referendums in Parishes - is also attempting to stage votes in other counties in England.
The campaign includes members of UKIP but it says it is not a party political group.
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