From Longman Dictionary of Contemporary Englishhigh-rankingˌhigh-ˈranking adjective [only before noun] HIGH POSITION OR RANKhaving a high position in a government or other organization OPP low-ranking high-ranking officials
Examples from the Corpus
high-ranking• Rapid changes in the occupational structure, facilitated by educational expansion, have increased the overall chances of entering higher-ranking occupations.• But then Coy was present because he was a high-ranking nobody.• Tennis courts on which the children of high-ranking officers and generals play tennis during the night.• The houses and quintas of the high-ranking officers became the squadron's warships.• Generals and high-ranking officers live there.• Despite widespread poverty, high-ranking officials, military officers, and others with connections lived well.• Similar concerns have been expressed by high-ranking officials on the East Coast.From Longman Business Dictionaryhigh-rankingˈhigh-ˌranking adjective [only before a noun]JOB having a high position in a government or other organizationThe firm’s new management has slashed costs — dismissing many highly paid, high-ranking employees. 