The country's president said the invading forces had "destroyed everything".

Mr Zelenskyy was speaking alongside US President Joe Biden at the G7 summit in Hiroshima, Japan, where he has been seeking to rally international support.

Relentless Russian shelling has left few buildings standing in the eastern city, which has also witnessed ferocious house-to-house battles.

Both Russia and Ukraine have suffered losses believed to be in the thousands, though neither has disclosed casualty numbers.

Asked if Bakhmut had fallen to invading forces, Mr Zelenskyy said: "You have to understand that there is nothing".

"They destroyed everything."

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"For today, Bakhmut is only in our hearts," he added.

"There is nothing in this place."

Earlier, Russian President Vladimir Putin congratulated his troops for capturing the city. which is in the Donetsk region.

Use the sliders below to see Maxar satellite images of Bakhmut 12 months ago compared to today

The Kremlin's defence ministry and head of the Wagner mercenary group, Yevgeny Prigozhin, had both claimed the city was under Russian control on Saturday.

Mr Prigozhin said: "We completely took the whole city, from house to house.

"We fought not only with the Ukrainian armed forces in Bakhmut.

"We fought the Russian bureaucracy, which threw sand in the wheels."

Read more:
Terror and desperation inside Bakhmut's blackened nightmare

Appearing in a video in front of fighters holding Russian flags and Wagner banners, he said his forces would withdraw from the city from 25 May for rest and retraining, handing control to the regular Russian army.

According to Russian news agencies, Mr Putin said those who had fought in Bakhmut had distinguished themselves and would be given awards.

Fighting has raged in and around the city for more than eight months.

Russian forces will still face the massive task of seizing the remaining part of the Donetsk region still under Ukrainian control, including several heavily fortified areas.

Kyiv has previously said its aim in Bakhmut was to draw Russian forces in and inflict high casualties to weaken Moscow's defence before a major counter-offensive.

Mr Zelenskyy underlined the importance of defending "fortress Bakhmut" in March, saying its fall could allow Russia to garner support for a deal that might require Kyiv to make unacceptable compromises.

Analysts have said Bakhmut's fall would be a blow to Ukraine and give some tactical advantages to Russia but would not prove decisive to the outcome of the war.

Russian forces will still face the massive task of seizing the remaining part of the Donetsk region still under Ukrainian control, including several heavily fortified areas.

The provinces of Donetsk and neighbouring Luhansk make up the Donbas, Ukraine's industrial heartland where a separatist uprising began in 2014 and which Moscow illegally annexed in September.