Warmbier, a US college student, was arrested for stealing propaganda material during a 2016 trip to Pyongyang and sentenced to 15 years of hard labour for "hostile acts" against the hermit state.
He was held for more than a year before being released in a comatose state, but died shortly after arriving in the US.
US Vice President Mike Pence, who led the American delegation to the Games, travelled with Fred Warmbier to the South to "remind the world of the atrocities happening in North Korea".
Quoting the press director of the Institute for American Studies at Pyongyangs foreign ministry, it accused Washington of highlighting Warmbiers death to step up pressure on the nuclear-armed North.
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"It is a manifestation of crafty intention aimed at... stirring up an international pressure and vindicating its attempt to stifle us by force, as Trump... is terrified at the strength of the DPRK that has made a dignified rise to the status of strategic state," it said.
During their trip, Pence and Warmbier also met several North Korean refugees who urged efforts to expose widely condemned rights abuses under the regime.
The North lashed out at Pence's meeting with what it described as "human scum who committed crimes of treason against the nation".
It said the US should "mind its own miserable human rights record" including "bloody tragic events caused by Trump's unbridled remarks of advocating for white supremacy and racism".
Tensions have ratcheted since last year when the North staged its most powerful nuclear test and test-fired several missiles, some capable of reaching the US mainland.