Bradbury's "The Pedestrian" was first published in the now defunct magazine The Reporter in August 1951, and subsequently collected in his books The Golden Apples of the Sun, Twice 22,
S is for Space, Bradbury
Stories: 100 of His Most Celebrated Tales and A Pleasure to Burn. This makes it one of his most reprinted tales - and it has had an even more extensive life in anthologies and magazine reprints.
The complete archive of The Reporter is available online, and so we can view Bradbury's story in its original publication context here.