U.S. Treasury Secretary Steven Mnuchin also released a statement Tuesday detailing how the United States planned to cut finances that could potentially aid North Korea's nuclear program.
On Friday, the United Nations Security Council unanimously voted to add more sanctions on North Korea, its third round this year.
Kim Jong Sik, a veteran rocket scientist, and Ri Pyong Chol, a former senior air force commander, are often seen on television and in photographs with leader Kim Jong Un, walking down the red carpet or sharing a smoke with him to celebrate a successful missile launch.
In July, North Korea successfully launched the country's first intercontinental ballistic missile (ICBM), which had the capability of reaching the U.S territory.
This is unedited, unformatted feed from the Press Trust of India wire.
In a statement published on Sunday by the state-run KCNA news agency, the North Korean foreign ministry denounced the new United Nations sanctions as "an act of war".
Trump looks for plaudits, inks tax law
The president cited a subset of that $5.5 trillion, the amount that he said would go to "American families". But not everything on the legislative agenda will likely be easy for the president or his party.
Under the new sanctions, any property or interests in property of the two men within US jurisdiction are blocked, and transactions by USA persons involving the designated persons are generally prohibited, the statement said. Trump has provoked North Korea in the past by making fun of leader Kim Jong-un, calling him "short and fat" and nicknaming him "Rocket Man".
South Korea has also said it expects North Korea to open negotiations with the USA in 2018, although it is unlikely Kim will totally abandon his weapons programme.
The phone call follows Lavrov's previous offer to step in and mediate the conflict between the United States and North Korea.
Despite the growing list of sanctions, Pyongyang has continued to test missiles. The resolution adopted by the council also demands the repatriation of all North Koreans working overseas within 24 months.
The UN sanctions came in response to Pyongyang's 28 November firing of a ballistic missile, which the U.S. said was its highest yet. It also prohibits the export of certain items including machinery, electrical equipment and wood.