State Department spokeswoman Heather Nauert said Secretary of State Rex Tillerson and Russian Foreign Minister Sergei Lavrov spoke by telephone on Tuesday, after Washington and the United Nations both announced sanctions against North Korea in recent days.
"The two discussed concerns related to the DPRK’s destabilizing nuclear program and emphasised that neither the United States nor Russia accepts the DPRK as a nuclear power," Nauert said in a statement, using the acronym for North Korea's official name, the Democratic People's Republic of Korea.
She said both sides agreed to continue working toward a diplomatic way to achieve a denuclearised Korean peninsula.
On Tuesday, Russia reiterated an offer to mediate to ease tensions between Washington and Pyongyang that have raised fears of a new conflict on the peninsula.

FILE: US Secretary of State Rex Tillerson and Russian Foreign Minister Sergei Lavrov say they won't accept Pyongyang as a nuclear weapon. Source: AAP
Moscow said Lavrov told Tillerson "Washington's aggressive rhetoric" and beefing up of its military presence in the region had heightened tension and was unacceptable.
Russia has repeatedly called for talks to resolve the crisis and said Lavrov underscored the need for "the fastest move to the negotiating process from the language of sanctions."
Tillerson has emphasised diplomacy but the administration of President Donald Trump has repeatedly warned that all options, including military ones, are on the table regarding North Korea.
In October, Trump said Tillerson was "wasting his time" trying to negotiate with North Korea and this month the White House followed up an offer by the secretary of state to begin talks with no pre-conditions by saying that no negotiations could be held until North Korea improves its behavior.
Washington announced sanctions on two of the most prominent officials behind North Korea's ballistic missile program on Tuesday, its latest steps in a global campaign aimed at forcing North Korea to abandon its weapons programs.
On Friday the UN Security Council agreed on new sanctions in response to North Korea's November 29 test of a missile that Pyongyang said put all of the US mainland within range of its nuclear weapons.
North Korea declared the U.N. steps to be an act of war and tantamount to a complete economic blockade.