A method of conveying a glass film composite uses a roll-to-roll process for winding a glass film composite wound on a feed roller by a winding roller through a plurality of conveyance rollers. The glass film composite includes an elongated glass film, and linear resin tapes disposed on one side of the glass film along a longitudinal direction of the glass film at both ends in a width direction of the glass film. The method includes a step of conveying the glass film composite from the feed roller to the winding roller through the plurality of conveyance rollers without passing a state in which the glass film composite is bent so that the resin tapes are directed to the inside.