The palace confirmed the transfer, saying: "His Royal Highness Prince Friso arrived today in London, where he has been living for many years.
"Wellington hospital was recommended by experts. Considering his condition, Prince Friso will receive the best possible treatment there."
Friso has been in intensive care since being buried by an avalanche in the Austrian Alps on February 17.
The 43-year-old was trapped under the snow for 15 minutes and his brain was starved of oxygen while rescuers tried to locate him off-piste.
Now he is back in Britain where he and his wife Mabel have been raising their two daughters Luana, seven, and six-year-old Zaria.
Until 2003, Friso, who has an MBA, worked in London as vice-president of investment bank Goldman Sachs International.
The royal then became Chief Financial Officer of Berkshire-based uranium company, URENCO, where he was working until tragedy struck.
His mother, Queen Beatrix, has cancelled her official engagements to be by her son's side.