The card, believed to be a MasterCard product, will span the Arcadia high-street portfolio, which includes Top Shop, Top Man, Miss Selfridge, Dorothy Perkins, Burton and Wallis.
Craik Jones picked up the account following a competitive pitch, defeating direct agency Personal at the final pitch stage. The review was overseen by the AAR.
The agency is likely to create both online and offline campaigns for the group, including direct mail and in-store promotions.
The launch of an over-arching Arcadia credit card was mooted a year ago, but no agency was appointed at the time.
The group currently uses individual store cards, which are accepted across its portfolio; the launch of a branded credit card could signal a move away from this strategy.
It is believed the credit card will launch later this year, ahead of the Christmas rush.
Store cards have recently come under intense scrutiny in the UK. The Competition Commission has predicted that by the end of the year, 90% of store cards in the UK will charge interest of more than 25% a year.
The Commission has insisted that store cards charging that amount must carry a consumer warning, informing them of cheaper alternatives.
The investigation concluded that customers in the UK were being overcharged about £55m a year.
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