The new rules are to be debated in the house of lords today.
The paper says in areas where there are just one or two grammar schools and the majority of children go to comprehensives, only parents at schools that have sent at least five children there over the past three years will receive votes. All parents in places where there is a network of grammar schools will have votes.
A survey carreid out for Calderdale MBC showed parents at 26 of the 83 schools would have no vote. In contrast parents from two private schools and two schools outside the area would have a say.
He said the government was disenfranchising the people it was supposed to represent, with Asians and poor whites being left out.
Cumbria CC also argues parents in the smallest primary schools will be left out because they have only two or three pupils in each year group.