She and five others, including her racehorsetrainer husband Charlie Brooks, who faces one count of the same offence, are due to appear at Southwark Crown Court on 26 September.
The BBC's June Kelly said the developments were likely to be "highly embarrassing" for Mr Cameron who attended Eton College with Mr Brooks and was a friend of both the racehorsetrainer and his wife.
Mr Cameron's friendship with Rebekah Brooks and other members of the Murdoch inner circle - he was at school with her husband, racehorsetrainer Charlie Brooks, and the couple socialise with the Camerons - is well-documented.