Evaluating the influence of Robert Frost is difficult because, although his work is superb, and distinctive, it doesn’t have the strong and immediately obvious stylistic hallmarks one finds in e.e. cummings, Ginsberg, Dylan Thomas, or T.S. Eliot, that make influence immediately recognizable, nor was Frost particularly involved in the literary politics of the modernist school.
Perhaps his strongest influence was to keep alive an anti-modernist, formalist, and regionalist strain in American poetry, which in various ways influenced the southern Fugitive poets and later the growth of New Formalism, which follows many of Frost’s choices of formal meter, ordinary speech, narrative structure, and popular appeal.
Frost was also deeply connected to the Georgian movement in Britain, and especially influenced Edward Thomas.