The present invention describes bleached grain products such as bleached whole wheat flour that are obtained having the color and taste of white flour by bleaching whole wheat kernels prior to conventional flour milling. The wheat kernels are treated with a peroxide solution to lighten the color of the bran layers. The bleached grain kernels can be tempered and milled into whole grain flours having 10% to 12% dietary fiber from the bran but which are white in color and bland in flavor. The whitened, high fiber whole wheat flours can be used to prepare good tasting, and nutritious products such as baked goods such as breads and pastries as well as pasta product, and ready-to-eat cereals or grain based snacks.