From Longman Dictionary of Contemporary Englishattach importance/significance etc to somethingattach importance/significance etc to somethingBELIEVEto believe that something is important People attach too much importance to economic forecasts. → attach
Examples from the Corpus
attach importance/significance etc to something• Hence he attaches importance to spending more of the government's research cash in industry as opposed to within the government's own establishments.• And, since he seems to attach importance to the language-game of giving orders and obeying them, let us begin there. 