Children and young people aged between eight and 17 are being invited to submit their views by email, post or telephone.
They are being asked their opinions on questions such as:
Teachers are also to be encouraged to get students to contribute to the review. Further details are available on the Charter Review website.
Tessa Jowell, secretary of state for culture, media and sport, said that children's programming had changed "beyond recognition" since the days of 'Muffin the Mule' and 'Listen with Mother', and that the BBC had been at the vanguard of extending the choice of stations.
"This proliferation of channels empowers children and young people as consumers as never before. They have greater influence than ever before," she said.
"The Charter Review consultation is a perfect opportunity for them to make that influence count, by letting us know what they want from the BBC."
The Charter Review is carried out roughly every 10 years, with BBC's current charter expiring at the end of 2006. The public consultation has received a total of 450 responses so far.
The government is also set to conduct two reviews into the BBC's digital channels, one for radio and one for television. The names of the lead reviewers will be announced in spring.
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