"Every person is presumed innocent unless proved guilty in a court of law," the statement said.
Stating that the family possessed enough wealth and were tax assesses, it said they do not crave for money and they had no need to seek money in unlawful ways.
"We are therefore astounded by allegations of properties in multiple countries, multiple bank accounts, numerous shell companies etc., these are chapters plucked out of ghost stories and one day these ghosts will be buried."
The family also said: "We challenge the government to produce a shred of evidence in support of one undisclosed bank account, one undisclosed property or one shell company anywhere in the world."
They appealed to the media to exercise restraint and uphold liberty and dignity.
"Chidambaram has been in public life for nearly 50 years and his impeccable honesty, work as well as contribution cannot be wiped out by a campaign of vilification," the statement said.
Chidambaram, arrested by the CBI in the INX media case on August 21, has been remanded to the custody of the agency till August 30 by a Delhi court.
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