A method of producing high value products: kerosene including cosmetic kerosene, white oils, high value paraffin and purified liquid fuels, from polyolefin waste material and polyolefins, comprising (a) thermally or catalytically decomposing polyolefin waste material or polyolefins to yield vapor products; (b) condensing vapor products of thermal or catalytic decomposition of polyolefin waste material or polyolefins, to yield a first mixture; (c) catalytically hydrogenating said first mixture to reduce olefinic double bonds and acetylenic triple bonds to yield a second mixture; and (d) fractionally distilling said second mixture to yield one or more of the following: a kerosene fraction having a boiling range below 180.degree. C., a cosmetic kerosene fraction having a boiling range of between 180 and 275.degree. C., a white oil fraction having a boiling range of between 270 and 400.degree. C., or a paraffin fraction having a boiling range above 400.degree. C.