Some 116,000 youngsters are already using the 15 hours of free childcare they are entitled to from the Government, a Department of Education spokesman said.
The DfE rebuffed claims more needed to be done to tackle growing demand and said:
Over 116,000 eligible children are already accessing 15 hours of free childcare a week and we have now extended this to a further 240,000 two year olds from September.
We have also introduced tax free childcare - up to £2,000 per child and for working families on the lowest incomes up to 85% of childcare costs are to be met under universal credit.
We are encouraging new childcare providers to enter the system, while cutting red tape for current ones and making it easier for school nurseries to open from 8-6, with over 800,000 places in schools, to help ensure parents can have what they want.
4Children wants schools to open across the summer holidays so youngsters have somewhere safe to go while their parents are at work.
The children's and family charity say there are just 450,000 places in holiday clubs or with childminders available to the 6.8million children aged four and 14-years-old. This equates to one place for every 15 children.
4Children also wanted to see the Government build on free entitlements for two, three and four-year-olds, so older children can access affordable, high quality childcare from the end of parental leave until school.