These are people who today are the victims of war crimes. Those that commit these acts will have to face up to their responsibility, including in the ICC," he said.
On Tuesday UK Foreign Secretary Boris Johnson said Mr Putin's strategy of restoring Russia's greatness was at risk.
"If Russia continues in its current path then I believe that great country is in danger of becoming a pariah nation," he told the UK parliament during a debate on the Syrian crisis.
Neither Russia nor Syria is a member of the ICC. Moscow has repeatedly denied attacking civilians, and says it targets terrorist groups in Syria.