A cement kiln burner device includes a powdered-solid-fuel flow channel having means for swirling a powdered-solid-fuel flow; a first air flow channel placed inside the powdered-solid-fuel flow channel to be adjacent to the powdered-solid-fuel flow channel having means for swirling an air flow; a second air flow channel placed in an outermost side outside the powdered-solid-fuel flow channel having means for straightly forwarding an air flow; and a combustible-solid-waste flow channel placed inside the first air flow channel. The second air flow channel is divided in a circumferential direction into four or more opening portions adapted to form ports for injecting air flows, and is configured to control flow rates of the air flows ejected from the opening portions, independently for each opening portion.