Eight-four per cent of children have received a place at their first choice primary school, according to Bucks County Council.
This year, there have been 193 more applications for primary school places in the county.
A total of 6,353 applied for places on-time, with 5,346 children being offered a place at their first choice school.
A further 696 applicants were offered a place at either their second, third or fourth choice of preferred primary schools.
The council says that despite the on-going and significant increase in the population of primary school age children in Bucks since 2012, every family who applied for a primary school place starting September this year has been offered one.
Today (Thursday), marks the second national allocation day for primary school places, where parents are told which school their children have been accepted into. Before this, each council chose their own date to tell parents, which led to a wide variation of allocation dates across the country.
Mike Appleyard, Bucks County Council’s cabinet member for education and skills said: “I am delighted that so many children are getting a place in one of the primary schools for which they had a preference, although I do acknowledge that not everybody was able to get to their first choice.
“Many of our schools are very popular and, like all authorities in England, it is just not possible for us to give everyone a place at their first preference school.
“I know that all our schools put their pupils first and do their utmost to give them the best possible education.
“The school place allocation situation is ever-changing with people moving in and out of the county, and parents accepting places elsewhere, so the full picture will not be known until the first day of school in September.”