According to the defence ministry, the missile was launched from a MiG-31 jet that took off from an airfield in south-west Russian Federation on Saturday. The ministry said the "launch was conducted normally" and the missile hit its target.
It then affirmed "the launch was successful, the hypersonic missile hit the designated target at the field".
At the time of the unveiling, Putin described the Kinzhal missile - named after a type of dagger - as an "ideal weapon" to thwart US defenses.
In a short one-minute video, the Kinzhal is shown mounted under a MiG-31 interceptor aircraft.
The Kinzhal is a formidable weapon that has an effective range of 2,000 kilometers (1,200 miles) and can travel at 10 times the speed of sound.
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Russia's defense ministry released a footage showing a large warhead detaching from a jet and blast through the sky, leaving a fiery trail behind.
President Vladimir Putin called it "an ideal weapon" when he unveiled a new array of next-generation arms earlier this month.
According to TASS news release, the system has no counterparts across the globe owing to high flight performance characteristic of the MiG-31 fighter jet and the hypersonic missile with a small radar signature and high maneuverability.
U.S. State Department spokeswoman Heather Nauert said that, with Russia's presidential election approaching, Putin "was playing to the [domestic] audience, certainly".
Russian President Vladimir Putin's recent suggestion that Jews and other minorities in Russia could have been behind the meddling in the 2016 US presidential election have prompted a backlash in the United States.
In the film, Putin told interviewer Andrey Kondrashov - a Russian state television presenter who became the President's election campaign spokesman in January - that he received a phone call from security officers on February 7, 2014, while en route to the Olympics opening ceremony at Fisht Stadium. The systems the Russian president talked about "are still years away", the secretary said, adding that he doesn't see them changing the military balance. "But I do not know what the intent was because we know that at a basic level Putin is neither an anti-Semite nor anti-Israel".