The United States -- which confirmed it was an ICBM launch -- backed by Japan and South Korea, requested the urgent meeting that is scheduled for 3 pm (1900 GMT).
North Korean leader Kim Jong-Un oversaw the launch of the Hwasong-14 missile which experts say is capable of reaching Alaska.
North Korea's Academy of Defence Science said it reached an altitude of 2,802 kilometers (1,741 miles) and flew 933 kilometers.
UN Secretary-General Antonio Guterres strongly condemned the launch, warning that it "constitutes a dangerous escalation of the situation."
US Pacific Command confirmed the test and said it was a land-based, intermediate-range missile that flew for 37 minutes before splashing down in the Sea of Japan. It said the launch did not pose a threat to North America.
But US Secretary of State Rex Tillerson later confirmed the missile launched was an ICBM.
The launch came as Americans prepared to mark Independence Day, prompting President Donald Trump to urge China to act to "end this nonsense once and for all."
US Ambassador Nikki Haley on Tuesday spoke by phone with China's Ambassador Liu Jieyi, who holds the council presidency this month, to convey the US request for an urgent meeting, diplomats said.
Guterres stressed the importance of having united approach to addressing the North Korean crisis.
China, Pyongyang's main ally, is pushing for talks between world powers and North Korea on dismantling the nuclear program.