The Royal Warrant-holding shirtmaker is celebrating its 130th anniversary this year and has just released a range of online films that show how it makes its clothes.
Following a competitive pitch, Poke will handle the creative, design, user experience and strategy across the company’s digital portfolio.
Nik Roope, the executive creative director of Poke, said: "Luxury is a natural space for Poke to work in as brand owners need no education in the importance and value of beautifully crafted customer experiences.
"The Turnbull & Asser owners and management team have an inspiring ambition to fuse their rich heritage with progressive product and service innovation that will give bespoke a whole new resonance in the luxury space."
Turnbull & Asser has a worldwide client base and shops in London and New York.
Prince Charles awarded Turnbull & Asser a Royal Warrant in 1980.