Mladic was transferred from the detention centre of the Belgrade special court to the Netherlands after the Justice Minister signed an order for his extradition following the court's rejection of the appeal by the Mladic defence team against his handover.
The court ruled last Friday that Mladic was fit to stand trial in The Hague.
Malovic said that "with the extradition of Mladic Serbia has fulfilled its international and moral obligation."
All of this proves that Serbia is clearly committed to the cooperation with the Hague tribunal. Bringing Mladic to justice is satisfaction for the victims and their families, she said.
Mladic was indicted by the ICTY in 1995 for genocide, crimes against humanity and war crimes his troops committed during the 1992-1995 war in Bosnia and Herzegovina.
Mladic and former Bosnian Serb political leader Radovan Karadzic, who is on trial in The Hague, are held responsible for the murder of 8,000 Bosnian Muslims in Srebrenica in 1995 and for the 43-month-long siege of Sarajevo.
Mladic's extradition also means that Serbia is extending the arm of reconciliation to the region, Malovic said.
She went on to say that the Mladic case file would not be closed with his handover to the ICTY.
It should be established who has helped him in hiding all these years, which is why Serbia has spent huge amounts of money on efforts to find him, the minister said.
Mladic was captured in the village of Lazarevo, 80 kilometres northeast of Belgrade, last Thursday after 16 years on the run.
Malovic said that the capture of Mladic was a message to all war criminals that they would not go unpunished.
All criminals must be brought to justice, she stressed.
According to local media, Mladic was transferred from Belgrade aboard a special plane to the Netherlands at about 1700 hrs Tuesday.
He was brought to the airport in a police convoy under heavy security. The roads in the vicinity of the airport were closed to other traffic during the Mladic transfer.