One diplomat said it was unlikely the Security Council would be able to resolve differences on the statement.
Last month, the council was united in strongly condemning the launch of three missiles and expressed serious concern over Pyongyang's "increasingly destabilizing behavior".
The statement, which was tabled by the U.S., would also tell North Korea not to conduct further nuclear tests.
Diplomats who spoke on condition of anonymity appeared surprised that Russian Federation would block condemnation that China, Pyongyang's ally, had been willing to support.
U.S. Ambassador Nikki Haley has a message for North Korea: "We're not trying to pick a fight so don't try and give us one".More news: Ex Microsoft CEO Steve Ballmer offers facts on government
The Malaysian Government's diplomatic efficiency in resolving the crisis with North Korea following the murder of Kim Jong-nam, the estranged half-brother of the country's leader, Kim Jong Un, is seen as a rare and remarkable feat.
"We do not accept the reckless nuclear missile actions of Pyongyang that breach United Nations resolutions, but that does not mean that you can break worldwide law", he said. You know, the ball is in their court. "They shouldn't try to play it at this point".
"We will defeat any attack and meet any use of conventional or nuclear weapons with an overwhelming and effective American response".
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.
Pence said that the era of USA "strategic patience" in dealing with the North was over, after more than two decades.