Demolition of existing factory units is now underway ahead of construction starting on the building in September.
BAM will build a bespoke four storey concrete framed building with a zinc-clad façade, and extensive glazing and curtain walling.
The overall value of the scheme is £12m including construction costs minus cash raised through the sale of two existing office buildings.
The new building will replace existing factory units and will stretch to 83,000 square feet.
Nick Goff, Construction Director for BAM, said: “The market in the South West is extremely competitive and Imperial Tobacco has impressive plans for its new headquarters.
“Those two factors emphasise the significance of this success to us at BAM. Our track record shows we are equally successful in the commercial sector, especially with highly sustainable projects, as we are in the public sector with schools and hospitals.
“The team are very enthusiastic to set about creating this new building with the quality and considerate approach we bring to all our projects.”
Project manager on the job will be Ross Cameron who has just delivered the Business School for the University of Exeter.
Bristol-based Eagle Land will be acting as project managers for Imperial Tobacco, CB Richard Ellis are employer’s agent and Gardiner and Theobald cost consultants. The designers include architects, Bristol-based AWW; structural engineers Fairhurst and Hoare lea for the M+E services.