The business, which is an independent estate agent and property consultant, has issued a brief to agencies incorporating advertising and digital work. Creativebrief is running the review.
The planned media spend is believed to be in the region of £1.5 million.
Strutt & Parker currently works with the independent agency Them London and SAS, which is part of Publicis Groupe, on its creative advertising.
It claims to have more than £3.5 billion worth of residential properties on its books and 24,000 applicants actively looking for property.