Officers have been referred to as to her flat in Bramham Gardens, South Kensington, at 13:40 GMT. A girl in her 40s was discovered useless on the scene, the Met Police mentioned.
The loss of life is being handled as unexplained.
The Prince of Wales and the Duchess of Cornwall launched an announcement during which they mentioned they have been “deeply saddened and our ideas are a lot with the household”, following the loss of life of their shut buddy.
Palmer-Tomkinson rose to fame within the 1990s as a hard-partying “it lady” and put her title to a number of columns chronicling her glamorous life-style.
She was identified with the tumour final January after coming back from a snowboarding journey, and hit again at critics who blamed her frail well being on her well-documented cocaine habit.
Later in her profession she appeared on actuality TV collection I am A Superstar… Get Me Out Of Right here! in 2002, in addition to a number of different TV exhibits.