The injector for injecting a flexible intraocular implant comprises: a channel (14) having a main portion (18, 30) of diameter D1, an open end portion (34) of diameter D2 (with D2<;D1), and a transition portion (32); a rigid piston (16) movable along the channel to push the folded implant in the channel, and a substantially circularly symmetrical thrust part (40) made of a material that is hydrophobic and elastically deformable, said thrust part having an outside diameter D3 not less than D1, said part (40) being placed in said channel between the folded implant (1) and the end of said piston (16) without being mechanically connected to said piston. When the implant is pushed in the channel by the piston, said thrust part can deform elastically to penetrate in part into the end portion of the channel, thereby expelling the implant from the channel, and remaining jammed in said end portion of the channel when the piston is withdrawn.