Provided are (i) polyethylene resin foamed particles which are obtained by foaming polyethylene resin particles to be foamed having good productivity and a high expansion ratio and which are suppressed in reduction of cell diameters, and (ii) a polyethylene resin in-mold foam molded article obtained from the polyethylene resin foamed particles which has good surface smoothness while being reduced in surface yellowing. The polyethylene resin foamed particles (i) contain, as a base resin, a polyethylene resin composition containing, in an amount of not less than 1000 ppm to not more than 4000 ppm in total, one or more compounds selected from the group consisting of antioxidants, metal stearates, and inorganic substances and (ii) have Z-average molecular weight of not less than 40×104 to not more than 70×104, an average cell diameter of not less than 180 μm to not more than 450 μm, and an open-cell ratio of not more than 12%.