One in four children in households where both parents are obese is obese themselves, compared to one in 20 in households where both parents are a healthy weight.
In households where one parent is obese one in eight children is also dangerously overweight.
The report warns that, based on current trends, 33% of men and 28% of women will be obese by 2010.
The government says it is the "most accurate estimate so far" of future obesity rates.
The data is published just days after a "minister for fitness" was appointed. Caroline Flint will be working across all government departments to develop a new fitness strategy for England.
These are amazing figures but what about going to a gym or taking a bike instead of the car.