According to the statement, Tadic believes that a state funeral for Milosevic would be "absolutely inappropriate" considering the role he played in Serbia's recent history.
Serbian courts have issued an international warrant for the arrest of Milosevic's wife and their son, Marko Milosevic.
Mirjana Markovic is accused of abusing her position to grant a government apartment to her grandson's nanny, while Marko Milosevic is charged with several violent crimes.
Milosevic's Socialist Party and the Radical Party have requested that charges against Mirjana Markovic and Marko Milosevic be dropped.