The company's logo, which originally appeared in the 1920s, is placed predominantly on the front of the packs, along with a stylised woodcut illustration relating to farming and milling, to emphasis the products purity.
Amber McNaughton, Allinson Flour brand manager, said: "Our challenge is to inspire and lead the revolution back into home baking through a new packaging range for Allinson Flour, which is contemporary yet retains a traditional "from the mill" feel.
Kellie Chapple, Ziggurat's director, said it was a challenge to engage with a brand that had such a strong heritage.
She said: "We had to emphasise Allinson's core values and understand the conventions that cooks automatically recognise, while simultaneously helping Allinson to perform in a dynamic market where new competition is emerging.
"In-store we have helped with the category management to create a consistent brand identity. In the home, the individual packs resonate with cooks, and the overall aesthetic appeals. Hopefully longstanding consumers, experienced cooks, as well as novice bakers, will be proud to display the packs instead of hiding them away."