Research conducted by Which? Money found that half of easy access children's savings accounts pay 1.00% AER or less.
The most miserly account on the market for children is First Trust Bank's Junior Saver account offering a return of just 0.05% - only 50p for every £1,000 saved and a tenth of the Bank of England base rate.
Accounts affiliated with football clubs pay some of the stingiest rates to young savers, with those linked to the likes of Manchester United and Chelsea offering just 0.25%, while Derby County's Junior Rams account pays 0.1%.
It represents just a thirtieth of the return available with Northern Rock's Little Rock account, which pays 3% AER.
Returns aren't much better for savings in Child Trust Funds (CTFs), the obvious long-term savings option for children born between 1 September 2002 and 2 January 2011, with rates as low as 1.1% for a cash CTF from Nationwide.
What's more, with CTFs now closed to new savers, it is predicted that rates will decline as savings providers concentrate their efforts on the new market for Junior ISAs, which will replace CTFs in November 2011.
And, with current rules preventing CTF savers from transferring their funds to a Junior ISA, it is being warned that millions of young savers could be trapped on poor rates.
"It's incredibly important that young people get into the habit of saving, but banks and building societies are doing little to encourage them by offering such paltry rates," said Which? executive director Richard Lloyd.
"The situation is set to get worse, as unless the Government allows transfers from Child Trust Funds to Junior ISAs, a whole generation of young savers could be stranded on uncompetitive rates."
Find the best accounts for child saving here.
Disclaimer: Information is correct as of the date of publication (shown at the top of this article). Any products featured may be withdrawn by their provider or changed at any time.
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