"I have not seen the quote. I am not able to talk on the veracity of it," spokesperson Stephane Dujarric told a briefing.
"But of course, we stand against any and all acts of terrorism."
In a YouTube interview published on Tuesday, Budanov admitted Kiev's involvement in recent assassinations of Russian public figures, bragging that Ukraine had already "got to" many of them.
At the same time, Budanov refused to say whether Ukraine had been behind the attempted murder of Russian writer, politician and co-chairman of the political party A Just Russia — For Truth, Zakhar Prilepin, that took place earlier in the month.
"When you get personal, I have to answer you the way any intelligence services in the world usually do. We cannot comment on this situation and can neither confirm nor deny this information," the intelligence official added.
Another terrorist attack involving a prominent Russian national took place in early April. An unidentified explosive device went off in a cafe in the center of St. Petersburg, killing military reporter Vladlen Tatarsky. Russia's National Anti-Terrorism Committee said the terrorist attack had been planned by the Ukrainian special services.
In an interview with US media earlier this month, Budanov - when asked about US intelligence reportedly attributing the August car-bomb assassination of Daria Dugina to the Ukrainian government - asked not to "continue with that topic."
Instead, he added that all he would comment on is that Ukrainian forces "have been killing Russians" and "will keep killing Russians anywhere on the face of this world until the complete victory of Ukraine."