"North Korea is the most risky and urgent threat to the peace and security of the Asia-Pacific", Pence said.
North Korea, in response, announced that it was ready for "any mode of war desired by the U.S". "They shouldn't try and play at this point".
Russian Federation wanted to include language contained in a previous statement stressing the need to achieve a solution through dialogue, according to council diplomats.
The Yellow Sea directly separates mainland China from the Korean peninsular, and is a natural deployment area if Beijing decides to intervene militarily in the standoff with North Korea.
The diplomats, who agreed to discuss the statement only on condition of anonymity because consultations have been private, said China had signed off on it.
North Korea will definitely be in the United Nations spotlight on April 28 when U.S. Secretary of State Rex Tillerson presides at a Security Council meeting where Guterres will brief members on the North's nuclear program.
The paper, obtained by The Associated Press, says the North's latest actions "make clear that further global pressure is required for the DPRK to change its behavior if there is to be any hope for meaningful denuclearization talks to resume".
North Korea regularly threatens to destroy the United States and amid heightened tension on the Korean peninsula, it has escalated a war of words, warning of full-out nuclear war if Washington takes military action against it.
UN Secretary-General Antonio Guterres separately said "everything" must be done to confront the threat from North Korea and ensure that its missile and nuclear programs do not pose an global threat.
Guterres said countries "on the frontline" of the crisis - China, the United States, Japan, South Korea, Russia - must spare no effort to prevent a military buildup from Pyongyang.
She told reporters yesterday that North Korea needs to realize that it should not give a reason to the United States for a fight and USA also not wants a reason to fight with North Korea.