Kantor received the following government awards: Order of Friendship (Russia, 1998), Officer's Cross of the Order of Merit (Poland, 2005), Order of Prince Yaroslav the Wise (Ukraine, 2006), Order of Leopold (Belgium, 2009), Chevalier of the National Order of the Legion of Honour (France, 2012), the Knight Grand Cross of the Order of Merit of the Italian Republic (Italy, 2013), Grand Cross with honours of the State Order for Merit (Romania, 2014), Officer of the National Order of the Legion of Honour (France, 2014, presented in 2015) and The Order of Honour (Russia, 2016).