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 and an extruded polymer layer (2) containing a blend of (i) 0 to 25 wt-% of a branched low-density polyethylene (LDPE) with a lower melt viscosity and (ii) 75 to 90 wt-% of a linear low-density polyethylene (LLDPE) with a higher melt viscosity. The packaging material of the invention comprises multilayer coatings, e.g. an adhesive innermost and a heat-sealable outermost layer (2, 4) of said blend and a vapor barrier middle layer (3) of at most 90 wt-% of high density polyethylene (HDPE). The layers (2, 3, 4) are 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.