The Research Studios said the new identity, which will be applied to buildings, literature and the venue's website, creates a "flexible, modern look".
The company said the flexibility of the new image is seen in the typography and a portal design, allowing Somerset House to change the branding to suit its intended audience, whether that is young people or the corporate world.
Brody described the scale of the task facing the company when it set about redesigning Somerset House's image as "quite a challenge".
He said: "Somerset House is a number of things, it is a building, a public space, a venue for public events and a home to galleries and restaurants. In some cases it owns an event or a space and in others it is a partner and secondary to other brands."
Nick Hard, lead designer on the project at the Research Studios, said: "Somerset House is seen as a host, a location and a portal within the city of London where people can escape and experience something different from their normal day to day life.
"Using the topographic view of the building, the idea of a tilted square became the iconic visual element for the brand. Resembling a portal and the building itself set at a 24 degree angle from the North South axis."