More than 20 children in the borough still have no primary school to go to in September.
Kingston Council said six per cent of children failed to get into any of their preferred schools when they were handed out in April this year.
Since then the authority has received 51 new applications, some were offered a place, but 22 children currently have no offer.
The situation could leave anxious parents waiting until the first day of school term to find out where their child will be educated, which councillor Andrea Craig said was very worrying.
She said: "My issue is its extremely stressful for the parents without places waiting with trepidation to find out where their kid may go because they are given no choice.
"They have no control over the process which doesn’t feel right.”
Kingston’s executive member for education, Councillor Liz Green said she understood parents’ concern but said the figure was not alarming and urged people not to worry.
She said: "We are still in the shift around period. It’s a worrying time if you haven’t got a space allocated for the parents. But in the big picture we do know spaces will become available.
"Unfortunately that might be right up to the first day of school.”
In neighbouring Richmond 24 children are yet to be offered a school place but a Richmond Council spokesman said they hoped they would be placed within the next few weeks.
Meanwhile more than 19 Kingston parents are currently going through the appeal process in a bid to secure their preferred choice of school.
Mother of two, Jess Deverson, is hoping to secure a school place for her four-year-old daughter Daisy, after failing to get any of their preferences and declining an offer to Kings Oak Primary in New Malden.
The 35-year-old teacher from Norbiton said: "Whether we will have any luck I don’t know. If we are not successful I dread to think what we will do, really it’s a desperate situation.
"We want the best for our daughter, as everyone does."
Hundreds of Kingston pupils will be joining schools with bulging classes that have been educated in temporary classrooms after the council was hit by a rising birth rate and fall in pupils in private schools since 2008.