A method for producing a glass film includes a cleaving step S5 of cleaving a strip-shaped glass film G1, which is to be conveyed in a predetermined conveyance direction X, by irradiating the glass film G1 with laser beam L. The cleaving step S5 includes sub-steps of: supporting the lower surface of the glass film G1 with a surface plate 22 having an opening 25a and sucking the glass film G1 through the opening 25a; and irradiating the glass film G1 that has been sucked through the opening 25a with laser beam L.