on high UK /ɒn ˈhaɪ/US /ɑn ˈhaɪ/ prepositional phrase3 •To a high position; or up in, or to, the sky; above.So thick a haze o’erspreads the sky, / They cannot see the Sun on high; / The wind hath blown a gale all day, / At evening it hath died away. — 1796 •(humorous) In authority, influence, or power.According to those on high, taxes need to increase again. •(literary) Up in, or to, Heaven.Who is like vnto the Lord our God: who dwelleth on high: […] — 1611