Air defence units were scrambled into action in 11 regions across Ukraine the air force said in a statement on the Telegram messaging app on Saturday.
Drone debris was found next to the parliament building in the capital Kyiv, the legislature said in a separate statement it posted on its official Telegram page along with several photographs.
It is rare for a Russian missile or drone to get so far into central Kyiv, as the city is protected by a network of Soviet-era and Western-donated air defence systems.
The hilltop government quarter in the city centre is perhaps the best-defended site in Ukraine, as it also houses the offices of the president, cabinet and the central bank.
Moscow has launched thousands of missiles and Shahed drones into Ukraine since the war began. (AP PHOTO)
The pictures on Telegram showed at least four pieces of debris scattered on the ground near the parliament building.
One piece lay at the foot of the steps to the building's main entrance, while another hunk of metal looked riddled with shrapnel.
Reuters correspondents in Ukraine's capital Kyiv heard a series of explosions after 3am (0000 GMT) on Saturday, some of which resounded loudly around the city centre, waking up residents.
Since the start of its invasion in February 2022, Moscow has launched thousands of missiles and Shahed drones into Ukraine.
The Iranian-designed drone has been used by Russia since September 2022 as a cheap, more expendable alternative to missiles, which are expensive and harder to manufacture.
The propeller-powered Shahed flies at less than 200km/h but can be tricky for conventional air defence systems to track because it flies low and emits far less heat than a missile.
Kyiv's air force said the drones were launched from two border regions in Russia as well as from the Russian-occupied peninsula of Crimea.
32°C