Guterres will travel to Washington next week to make the case directly to US members of Congress who have the power to amend President Donald Trump's budget proposals.
Last month, the US State Department laid out plans to slash Washington's budget for diplomacy and foreign aid by more than 30 percent, including a dramatic cut of 60 percent of US funding for peacekeeping missions.
"The proposal of budget that was presented to the Congress would create an insolvable problem to the management of the UN," Guterres told a news conference at UN headquarters.
"The process is still in the Congress and I will soon be going to Washington," he added.
Guterres has no plans to visit Trump at the White House during the June 27-29 visit, or hold talks with US Secretary of State Rex Tillerson.
Guterres warned that a US retreat from global affairs would create a void that would allow other powers to step in.
"If the United States disengages in relation to many aspects of foreign policy... It will be unavoidable that other actors will occupy that space," he said.
"I don't think that this is good for the United States and I don't think this is good for the world.
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