The U.S. dispatched four F-35Bs and two B-1Bs late last month in the wake of the North's ballistic missile launch.
The latest resolution, adopted in response to North Korea's sixth nuclear test on September 3, places for the first time a cap on oil supplies to the country.
Trump has threatened to rain "fire and fury" on North Korea.
"We likewise continue to urge the DPRK to abide by the relevant United Nations Security Council resolutions, as the Philippines remains committed to complying with the same", he added. "But we also have to look at the fact that you are dealing with someone who is being reckless, irresponsible, and is continuing to give threats not only to the United States, but to all their allies, so something is going to have to be done".
New measures included a cap on oil imports and a ban on textile imports but fell short of the original USA proposal for a full oil embargo due to opposition from China and Russian Federation.
On Friday, the U.N. Security Council condemned North Korea's "highly provocative" test of an intermediate-range missile.
Japan deployed Tuesday an additional missile defence system on its northern island of Hokkaido, days after North Korea launched a missile over the island, sparking emergency warnings to take cover.
The move came with tensions on the Korean peninsula at fever-pitch after Pyongyang carried out its sixth nuclear test and fired two missiles over Japan in the space of less than a month.
Trump tweets about North Korea's 'Rocket Man'
North Korea will be a key issue at the UN General Assembly this week.
B-1B and F-35Bs conducted bombing drills near the DMZ in Gangwon ProvinceThe U.S. military scrambled two B-1B long-range bombers and four F-35B stealth fighters over the Peninsula on September 18.in response to North Korea's sixth nuclear test and launch of the Hwaseong-12 IRBM.
In a phone call on Monday, Mr Trump and Chinese President Xi Jinping discussed the situation on the Korean peninsula, with the Chinese leader saying that both countries shared extensive common interests, Chinese official news agency Xinhua reports.
The North has confirmed the missile as an intermediate range Hwasong-12, the same model launched over Japan on August 29.
It was the farthest distance achieved by a North Korean ballistic missile and followed 13 other tests this year as Kim's regime has dramatically stepped up the pace of its nuclear weapons program.
The U.S. military released 24 photos of the latest show of force, an apparent message to North Korea and the worldwide community.
Speaking at a meeting with South Korean expats in NY, the president said that while US military bases in South Korea are for the common good of the two sides, there could be disputes over sharing defense costs.
8 perish in sweltering Florida nursing home, 150 evacuated
Key details in the Hollywood Hills incident remain unknown, even after officials delivered an update Thursday morning. Broward County Mayor Barbara Sharief said three were found dead at the Hollywood Hills nursing home.