The use of glycidyl methacrylate (GMA) and acrylic acid (AAc) as grafting monomers to improve the mechanical properties, particularly tensile strength, of recycled polyethylene (R-PE) is reported in this study. The AAc monomer was implemented to improve the stability of radical chains which could undergo GMA grafting. When the content of GMA and AAc was 1.2% and 0.6%, respectively, the tensile strength increased from 17.26 to 29.3 MPa, the elongation at break increased from 107% to 647%, and the melt index decreased from 3.42 to 0.97 g/10 min. The sensitivity of the dynamic behaviour of R-PE-g-(AAc-co-GMA) to temperature was also reduced relative to R-PE. Differential scanning calorimetry (DSC) results showed that the melting temperature was increased and the crystallisation temperature of R-PE-g-(AAc-co-GMA) was reduced. The fracture morphology of the samples was also shown by scanning electron microscope (SEM) observations to transition from brittle fracture to ductile fracture upon undergoing the grafting process.