SEOUL, South Korea — North Korea said on Monday that it had lost all appetite ​for dialogue with the United States because of Secretary of State Mike Pompeo’s continuous pressure​ on the ​country to give up its nuclear ​weapons program.

The statement came a week after North Korea said its leader, Kim Jong-un, had received a personal letter from President Trump offering help in fighting the coronavirus pandemic.

“​The world does not know well why the D.P.R.K.-U.S. relations remain amiss,” North Korea’s Foreign Ministry said in its statement, using the abbreviation of the North’s official name, Democratic People’s Republic of Korea, “despite the special personal relations between the top leaders” of the countries.

“Secretary of State Pompeo gave a clear answer,” it added.

The statement, carried by the North’s official Korean Central News Agency, appeared to criticize​ comments by Mr. Pompeo​ last Wednesday after a meeting of foreign ministers of the Group of 7 industrialized countries.