The agency will also produce online and in-store collateral and advise on potential brand partnerships.
Raoul Shah, chief executive of Exposure, said: "It's a privilege to represent one of the world's most iconic optical brands. Worn by some of the most influential individuals in the world, we are delighted to be working Cutler and Gross to define their future communications strategy, as they continue to expand globally."
Celebrities including Rihanna, Victoria Beckham and Kanye West have worn the brand. Actor Michael Fassbender recently sported a pair of its 1057 Honey Tort sunglasses in Ridley Scott film ‘The Counselor’.
The brand was founded in 1969 by Graham Cutler and Tony Gross and makes its products in its own factory in Cadore, Italy.
Majid Mohammadi, chief executive of Cutler and Gross, said: "Exposure impressed us with their strategic and creative vision and understanding of our brand DNA. We see Exposure as a perfect partner to help us propel our global expansion and look forward to our work together."