This follows the Ex-President’s recent comments suggesting the governing National Democratic Congress (NDC) would have lost the 2012 presidential poll, if it had presented then President Mills as its candidate.
Mr Rawlings later said his comments had been twisted and that all he said was that credit should not be denied President John Mahama whom he said won the election on his own strength.
His comments were roundly condemned by many, notably senior journalists Abdul Malik Kweku Baako and Kwesi Pratt.
They believed the comments were insensitive and unfair to the family of the late president.
On Saturday, the family expressed its disappointment about the comments which it deems rather disparaging.
A brother of the late president, Dr. Cadman Mills on behalf of the family says former President Rawlings must stay away from any public event organized to commemorate the third anniversary of the late President Atta Mills to avoid any public embarrassment from the family.
He is however urging the general public to bear with the Atta Mills family for taking such decision.