The meeting is expected to take place on Wednesday around 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.
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.
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.
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