CBRE Hotels, a hotel consultancy company, has been instructed to sell the 218-room property, which opened in April 2009 and is the flagship Courtyard by Marriott hotel in the UK.
Kew Green's chief executive Paul Johnson said that the hotel is being sold due to strong interest.
The hotel includes 218 bedrooms, a fitness centre, restaurant, bar, business centre and parking for around 150 cars.
Johnson said: "Since we opened last year demand has boomed and the hotel now achieves about 90% occupancy year round. Demand for high-quality assets like this is very strong and following expressions of interest from a number of parties, we have decided to market the hotel through CBRE Hotels."
CBRE Hotels director Craig Millward added: "This hotel has opened into a difficult market and quickly established itself and secured excellent market share due to its outstanding location and product quality."
The sale of the hotel will be subject to the Marriott International franchise agreements.