US Secretary of State Marco Rubio said he would now take the offer to the Russian side.
"We're going to tell them this is what's on the table. Ukraine is ready to stop shooting and start talking. And now it'll be up to them to say yes or no," Rubio said.
The United States will resume sharing intelligence with Ukraine, officials confirmed.
US President Donald Trump said he hoped for a swift ceasefire.
"I hope it'll be over the next few days," he told reporters.
Trump said he would invite Ukrainian President Volodymyr Zelenskiy back to the White House. The two leaders clashed in an Oval Office meeting last month and Zelenskiy left Washington without signing a critical minerals deal with the United States.
Trump said he thinks he will talk to Russian President Vladimir Putin about the ceasefire this week.
Putin has said he is open to discussing a peace deal. But he has ruled out territorial concessions and said Ukraine must withdraw fully from four Ukrainian regions claimed and partly controlled by Russia.
On Tuesday, Russia's foreign ministry said only that it did not rule out contacts with US representatives.
Zelenskiy, who was also in Saudi Arabia but did not participate in the talks, said the ceasefire was a "positive proposal" that covers the frontline in the conflict, not just fighting by air and sea.
The Ukrainian leader said the ceasefire would take effect as soon as Russia agreed.
"When the agreements come into force, during these 30 days of 'silence,' we will have time to prepare with our partners at the level of working documents all the aspects for reliable peace and long-term security," Zelenskiy said.
Ukrainian and US officials met behind closed doors for hours to find a path towards ending the war with Russia, after Ukrainian forces launched their largest drone attack on Moscow of the war overnight.
In Tuesday's joint statement, the two countries said they agreed to conclude as soon as possible a comprehensive agreement for developing Ukraine's critical mineral resources, which had been in the works and was thrown into limbo by that meeting.
Following that encounter, the United States cut off intelligence sharing and weapons shipments to Ukraine, underlining Trump's willingness to pressure a US ally as he pivots to a more conciliatory approach to Moscow.
A top aide to Zelenskiy said options for security guarantees to Ukraine were discussed with US officials. The aide did not detail the options. Security guarantees have been one of Kyiv's key aims, and some European countries have expressed willingness to explore sending peacekeepers.
In the joint statement, Ukraine reiterated that European partners should be involved in the peace process. NATO Secretary General Mark Rutte will be at the White House on Thursday.
"It seems like the Americans and Ukrainians have taken an important step towards peace. And Europe stands ready to help reach a just and lasting peace," Polish Prime Minister Donald Tusk said on X.
Trump's national security adviser, Mike Waltz said the initial resumption of military assistance for Ukraine would involve shipments of equipment from US stockpiles approved by former president Joe Biden, using so-called Presidential Drawdown Authority, and stopped by Trump after the acrimonious White House meeting.
with AP
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