The invention relates to a polymer-coated packaging material, a method of manufacturing the same, and products, such as a disposable drinking cup, made from the material. The packaging material comprises a fibrous base (1) of paper or board, an innermost polymer layer (2) containing a blend of (i) 10 to 25 wt-% of a low-density polyethylene (LDPE) and (ii) 75 to 90 wt-% of a second polyethylene with a higher melt viscosity, said second polyethylene being selected from linear low-density polyethylene (LLDPE) and high-density polyethylene (HDPE), and an outer layer (3) of more than 90 wt-% of HDPE. An outermost layer (4) of a polymer blend similar to that used for the innermost layer (2) may be provided for heat-sealing. The layers (2, 3 and 4) may be brought and adhered to the fibrous base (1) by coextrusion. To maximize renewability of the materials HDPE and LLDPE as used for the structure are of biologic origin.