Russian forces are targeting Odessa.
On Monday, three Kinzhal hypersonic missiles were fired from a plane and hit a "tourist infrastructure target", a Ukrainian official said.
On Russia's annual Victory Day, President Vladimir Putin reiterated his charge that the West left him no choice but to invade Ukraine.
He offered few clues about the direction of the conflict.
The White House described Putin's accusations of NATO threats to Russia as "patently false and absurd."
The US House of Representatives will consider an additional $40 billion in supplemental funding for Ukraine on Tuesday, according to House Majority Leader Steny Hoyer.
On Monday, President Joe Biden called on Congress to “immediately” pass the Ukraine aid bill.
Ukrainian soldiers continue to resist at the Azovstal steel plant in Mariupol, according to the State Border Guard Service.
The plant is the last stronghold of the Ukrainian resistance in the southern city.
Russian forces erected a pontoon bridge a few days ago, and Ukrainian officials are concerned it could allow Russia to threaten Ukrainian defenses and supply routes in the Luhansk region.