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The bank is offering a one-year fixed-rate, tax-free Isa paying a table-topping 6.5%. But there is a catch - that rate is only available if you transfer a balance of at least £9,000.
You will also have to lock the money away for a year.
Interest is calculated daily, and paid at the end of the 12-month period.
There is nothing to stop you opening an account with less than £9,000, but the rate is 5.25%, less competitive than many other offerings.
You can access the 6.5% rate by transferring £5,400 from earlier Isas then paying in the whole of next tax year's allowance - which rises to £3,600 - in one deposit. The offer runs until May 31.
If you are prepared to also open a stocks-and-shares Isa with the same balance, the interest rate paid on the cash Isa rises to 8%.
Abbey is also offering an Isa that allows transfers in from other providers. It is paying 6.25% and the minimum investment is £1.
Barclays also offers a 6.5% Isa but doesn't allow you to transfer in existing deposits.
guardian.co.uk © Guardian Newspapers Limited 2008