Negotiations have been all but deadlocked since U.S. President Donald Trump's summit with North Korean leader Kim Jong Un in Singapore in June.
Pompeo has pressed for tangible steps toward North Korea's abandonment of its nuclear arsenal while Pyongyang is demanding that Washington first make concessions of its own.
North Korea's Rodong Sinmun newspaper said U.S. special units based in Japan were staging an air drill aimed at "the infiltration into Pyongyang", citing a South Korean media outlet.
"Such acts prove that the U.S. is hatching a criminal plot to unleash a war against the DPRK and commit a crime which deserves merciless divine punishment in case the U.S. fails in the scenario of the DPRK's unjust and brigandish denuclearisation first," the paper said.
"We cannot but take a serious note of the double-dealing attitudes of the U.S. as it is busy staging secret drills involving man-killing special units while having a dialogue with a smile on its face," it noted.
A spokesman at the U.S. Embassy in Seoul said he had no information on the drill alleged in the newspaper. The U.S. military spokesman in South Korea was not immediately available to comment.
The editorial, which did not mention the Pompeo visit, urged Washington to give up the "pointless military gamble" and implement the Singapore agreement, in which the leaders pledged to work towards a complete denuclearization of the Korean Peninsula.
Since the summit, the two sides have struggled to narrow differences over the North’s nuclear weapons program.
Pyongyang is calling for a declaration of peace as part of security guarantees designed to encourage it to abandon its nuclear weapons and ballistic missiles, while the Trump administration says a peace deal and other concessions will only come after more progress on denuclearization.
In part to reassure North Korea, Trump canceled or delayed joint military drills with South Korea, but smaller exercises continue.
Trump partly blamed China for the lack of progress with North Korea and suggested that talks with Pyongyang could be on hold until after Washington resolved its bitter trade dispute with Beijing. China expressed "serious concern" about Trump's comments, which it called "irresponsible".
(Reporting by Hayoung Choi, Josh Smith; Editing by Alison Williams)