The store will have a "living" sedum roof to promote biodiversity and harmonise with the rest of the design.
There will also be natural ventilation and lighting systems to reduce the
overall amount of electricity needed
to run the shop.
Other energy-saving measures include recycled rainwater to flush the toilets and walls insulated by sheep's wool.
The brewer's decommissioned wooden fermentation vessels will be recycled as seating for the in-store café, while reclaimed groynes from Southwold beach are to be used to mark out the external courtyard and parking areas.
Farquharson, Adnams' director of retail, said: "The store offers a totally green shopping experience.
"The success of the Cellar & Kitchen concept can be attributed to the importance we place on first-class products and low environmental impact."
The store is the 10th in the Cellar & Kitchen estate, which sells wine alongside kitchenware.