The lamination of a glass fibre-reinforced and epoxy-based printed circuit board (PCB) substrate, FR-4 ®, to an amorphous thermoplastic copolyester of dimethyl terephthalate with ethylene glycol and 1,4-cyclohexanedimethanol, PETG ®, was studied. The lamination was achieved by the simultaneous surface graft copolymerization of glycidyl methacrylate (GMA) on the argon plasma-pretreated FR-4 ® substrate and PETG ® film at an elevated temperature. The plasma-treated surfaces and the delaminated surfaces were characterized by X-ray photoelectron spectroscopy (XPS). The adhesion strength between the FR-4 ® substrate and the PETG ® film was assessed by the T-peel test method. The adhesion strength was affected by the plasma pretreatment time of the substrates, the lamination time, and the lamination temperature. The FR-4 ®/GMA/PETG ® assembly from the simultaneous graft copolymerization with GMA and lamination exhibited a significantly more rapid lamination rate and a higher adhesion strength than those of the FR-4 ®/epoxy/PETG ® assembly from the epoxy adhesive-induced lamination of the plasma-pretreated FR-4 ® and PETG ® films. The phenomena are consistent with the presence of covalently bonded GMA graft chains on the surfaces of plasma-pretreated PETG ® and FR-4 ® films in the former assembly. The FR-4 ®/GMA/PETG ® assembly failed by a combined cohesive and adhesional mechanism.