Earlier, the pre-trial chamber of the ICC, whose jurisdiction Russia does not recognize, issued warrants for the "arrest" of Putin and the children's ombudsman Maria Lvova-Belova.
"This should not give us a reason to celebrate. That we had to do this is a matter of real regret," Khan said in an interview with CNN.
According to him, the evidence forced the court to act in this way.
He noted that the organization continues to investigate in connection with the crisis in Ukraine.
Russian Foreign Ministry spokeswoman Maria Zakharova said that no decisions of the ICC matter to Russia, including from a legal point of view.
Russian Permanent Representative to the UN Vassily Nebenzia said that Russia considers any documents of the ICC null and void and illegal.