The invention can firmly and easily remove a finely divided weft piece without leaving the weft piece by constituting a method and an apparatus of removing weft from a cord fabric for a topping sheet in a calender line for topping rubber on a number of pieces of aligned cords by a calender roll. In the midst of transferring a cord fabric transferred to a calender apparatus, weft is finely divided by passing the cord fabric through weft dividing means, thereafter, a plurality of blades arranged movably in a width direction on an upper face side of the cord fabric are reciprocally moved in the width direction over an entire width thereof to be brought into contact with the cord fabric, and the divided weft piece is wiped off to remove by respectively striking respective cords of the cord fabric by the respective blades.