Provided is method of producing a glass roll, the method including: a conveying step of conveying a glass film (G) along a longitudinal direction thereof; a cutting step of irradiating the glass film (G) with a laser beam (L) from a laser irradiation apparatus (19) while conveying the glass film (G) by the conveying step, to thereby separate the glass film (G) into a non-product portion (Gc) and a product portion (Gd); and a take-up step of taking up the product portion (Gd) into a roll shape, to thereby form a glass roll (R). The cutting step includes winding a thread-like peeled material (Ge) generated from an end portion of the product portion (Gd) in a width direction around a rod-shaped collecting member (20a), to thereby collect the thread-like peeled material (Ge).