John Kerry told Russian counterpart Sergei Lavrov that Crimea is part of Ukraine and Moscow should avoid military escalation.
Meanwhile, President Barack Obama has been discussing the deepening crisis with world leaders.
It comes as warning shots were fired as a team of international observers was turned back from entering Crimea.
The Organization for Security and Co-operation in Europe (OSCE) said that no-one was hurt in the incident at Armyansk.
It was the third time the OSCE has been prevented from entering Crimea, now in the control of pro-Russian forces.
Moscow has been tightening its military grip on the Crimean peninsula, and the pro-Russian authorities there have called a March 16 referendum to secede from Ukraine and join Russia.
The exchange between John Kerry and Sergei Lavrov came in a telephone conversation on Saturday, a US State Department official said.
“He [John Kerry] made clear that continued military escalation and provocation in Crimea or elsewhere in Ukraine, along with steps to annex Crimea to Russia would close any available space for diplomacy, and he urged utmost restraint,” the official said.
President Vladimir Putin has insisted he has the right to protect Russian interests and the rights of ethnic Russians in Crimea.
AGo4Rh6Y0WcThe US House Ethics Committee has voted to release its report on former Republican Representative…
ABC News has agreed to pay $15 million to President-elect Donald Trump to settle a…
South Korea’s parliament has voted to impeach President Yoon Suk Yeol over his failed attempt…
Israeli war planes have carried out more than 100 air strikes in Syria on December…
President-elect Donald Trump has threatened to impose 100% tariffs on the BRICS countries if they…
Syrian troops have withdrawn from the city of Aleppo following an offensive by rebels opposed…