"The DPRK will redouble the efforts to increase its strength to safeguard the country's sovereignty and right to existence and to preserve peace and security of the region by establishing the practical equilibrium with the US", it said in a statement carried by the official KCNA news agency.
"I don't know if it has any impact, but certainly it was nice to get a 15 to nothing vote".
But on Sunday night United States officials appeared to tone down their demands, scrapping the asset freeze and softening restrictions on North Koreans working overseas.
Recent months have seen an alarming escalation in tensions between the isolated Korean state and the USA, with Pyongyang launching increasingly ambitious missile tests and Mr Trump promising "fire and fury" in response.
Japan's Prime Minister Shinzo Abe said the sanctions were much stronger than earlier measures and urged Pyongyang to take "concrete action" toward denuclearisation. An Aug. 5 United Nations resolution banned North Korean exports of coal.
It also bans North Korea from importing all natural gas liquids and condensates.
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With this decision, the top body is imposing a ban on all oil imports and an worldwide asset freeze on the government and leader Kim Jong Un that the Trump administration wanted.
The proposal included a ban on oil and textile exports to North Korea and prohibited North Korean citizens from working overseas.
He argued that "economic warfare works" in North Korea.
It was the ninth sanctions resolution unanimously adopted by the council since 2006 over North Korea's ballistic missile and nuclear programs. Both China and Russian Federation - both of whom have veto power - had expressed scepticism about the severity of the sanctions while little political effort was being made to resolve the crisis.
Speaking to Fox News shortly after the nuclear test, Mnuchin had said he would prepare new sanctions to cut off all North Korean trade with other countries.
Apart from the oil and textile ban, the sanctions have also put a ceiling on the deliveries of refined oil products to Pyongyang and also limit crude oil shipments to the current level.
US Ambassador Nikki Haley welcomed the sanctions and said that this was a message to the recluse nation that "the world will never accept a nuclear-armed North Korea".
"The world will witness how (North Korea) tames the United States gangsters by taking a series of actions tougher than they have ever envisaged", the foreign ministry said in a statement carried by the official KCNA news agency.