The house, which is just off the famous Kings Road shopping area boasts of five bedrooms, roof terrace, designer kitchen and a pool in the basement.
David and Victoria are also believed to have started looking at schools in the British capital for their three sons - 10-year-old Brooklyn, Romeo, six, and four-year-old Cruz.
David, 34, still has three years left on his contract with Los Angeles Galaxy, but recently admitted he would love to play in Europe again permanently, following his recent loan to Italian club AC Milan.
Since returning to the US, David has been subjected to abuse from angry supporters and it is believed he is unsure about staying with Los Angeles Galaxy.
The athlete has been linked to a number of English teams, including London sides Chelsea and Tottenham Hotspur.