Ben & Jerry's Core will launch in three flavours – Karamel Sutra, Doughable Whammy and Berry White.
Each 500ml pot will cost £4.99.
The pots have a soft core of chocolate truffle, chocolate fudge or caramel sauces, and two flavours of ice cream.
Ben & Jerry's Core will initially launch in Tesco, followed by a wider rollout in other supermarkets.
It is unclear what level of marketing support Unilever will accord the brand.
Ben & Jerry's Core is a similar offering to Haagen-Dazs' Secret Sensation tubs, which launched earlier this year.
Last week, Unilever said it spent an extra £124m on advertising and promotions in 2011, making a total of £5.13bn.
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