The spokesman says the time and place of the private funeral will not be made public.
The troubled singer died on Saturday after a long struggle with alcohol and drug abuse. Autopsy results released on Monday were inconclusive and more tests are being conducted to determine the cause of death.
Crowds have gathered outside her north London home since her death to light candles and leave flowers and other tributes.
Winehouse was 27 when she died. She was best known for her soulful Back to Black album.
In recent years her personal problems overshadowed her attempts to keep her music career going.