Ukraine is "alive and kicking" and will never surrender, President Volodymyr Zelensky said, in a defiant address to US lawmakers on his first foreign trip since Russia's invasion.
US military aid to Ukraine is not charity, but an investment in security for the future, Mr Zelensky said.
His appeal comes amid signs US support is likely to face greater scrutiny in Congress from Republican lawmakers.
However, President Biden vowed to stick by Ukraine "for as long as it takes".
Mr Biden pledged a new $2bn (£1.7bn) aid package and promised another $45bn.
At a joint news conference, Mr Biden told reporters he was "not at all worried" about holding the international coalition together.
Amid concerns that some allies may be feeling the strain of the conflict's cost and disruption to global food and energy supplies, the US president said he felt "very good" about the solidarity of support for Ukraine.
Mr Biden said Russian President Vladimir Putin had "no intention of stopping this cruel war".
As Ukraine's most important ally, the US has already committed $50bn (£41bn) of humanitarian, financial and security assistance - far more than any other country.
Mr Zelensky - wearing his trademark combat-green sweatshirt and boots - expressed hope that Congress would pass an extra $45bn in aid to Ukraine - currently before the US Senate - to "help us to defend our values and independence".
Republicans - who will take control of the House of Representatives in January - have warned they will not write a "blank cheque" for Ukraine.
But Mr Zelensky, who travelled on a US Air Force jet from the Polish city of Rzeszow, said that "regardless of changes in the Congress", he believed there would be bipartisan support for his country.
After the White House meeting, the 44-year-old Ukrainian president gave an address to a joint session of Congress, where he was welcomed with a standing ovation.
Speaking in English, he told US lawmakers his country was still standing "against all odds" and predicted "a turning point" in the conflict next year.
While vowing Ukraine would never surrender, he said it needed more weaponry.
"We have artillery, yes, thank you," he told his audience. "Is it enough? Honestly, not really."
"For the Russian army to completely pull out, more cannon and shells are needed," he added.
Concluding his speech, Mr Zelensky presented Congress with a battle flag signed by the defenders of Bakhmut, a frontline city in the east of Ukraine that he visited on the eve of his Washington trip.
The package of security assistance announced by Washington on Wednesday includes a new Patriot missile system, which is expected to help Ukraine protect its cities from missiles and drones that Russia has fired at critical facilities.
A rare moment of levity arose in Wednesday's news conference as Mr Zelensky, a former comedian, answered reporters' questions.
The Ukrainian president said: "What's going to happen after the Patriots are installed? After that we will send another signal to President Biden that we would like to get more Patriots."
"We are in a war, I'm sorry, I'm really sorry," he deadpanned in English, as the audience in the East Room laughed.
Mr Biden chuckled and said: "We're working on it."
Russia's foreign ministry has said the delivery of the advanced surface-to-air missile system would be considered a provocative step.
Earlier on Wednesday, Mr Putin said he believed his country was not to blame for the war in Ukraine, adding both countries were "sharing a tragedy".
Since Russia invaded Ukraine on 24 February, the US military estimates that at least 100,000 Russian and 100,000 Ukrainian soldiers have been killed or injured, along with some 40,000 civilian deaths.
The UN has recorded 7.8 million people as refugees from Ukraine across Europe, including Russia. However, the figure does not include those who have been forced to flee their homes but remain in Ukraine.
Source: BBC
Image source: Ukrainian Gov
