The planes were reportedly shot down during aerial attacks on the cities of Vasylkiv and Brovary in the area surrounding Kiev, and a cruise missile and a helicopter were shot down near Kiev.
The Ukrainian army has downed a Russian fighter jet, the government said on Tuesday.
This is as Russia’s invasion of its neighbour country entered its sixth day.
Five Russian fighter planes and a helicopter were shot down during aerial attacks on Monday, the Ukrayinska Pravda newspaper and the Ukrainian air force reported.
The planes were reportedly shot down during aerial attacks on the cities of Vasylkiv and Brovary in the area surrounding Kiev, and a cruise missile and a helicopter were shot down near Kiev.
Ukrainian warplanes reportedly fired missiles and bombs at Russian tanks and troops near Kiev and close to the city of Zhytomyr.
Bombs were reportedly dropped in the northern region of Chernihiv and the southern Ukrainian city of Berdyansk, currently under Russian control.
Meanwhile, satellite imagery has shown a convoy of Russian military vehicles estimated to be 64 kilometres long heading towards the Ukrainian capital Kiev, according to Ukrainian news agency UNIAN.
More than 100 civilians have already died during Russia’s invasion of Ukraine, according to the UN.
Ukraine’s government puts the civilian toll at more than 150.