Blown films of linear low density polyethylene are produced by a high stalk process comprising extruding the linear low density polyethylene through an annular die to form an extruded tube of molten material, cooling the extruded tube while drawing the tube so cooled, to maintain the tube diameter identical to that of the annular die and expanding the tube or bubble to attenuate the walls thereof by introducing a gas to the interior of the tube or bubble. The resulting films are characterized by superior impact strength and MD tear resistance.