Stretch films are disclosed, the films having at least one layer formed of or including a polyethylene copolymer and having a natural draw ratio of at least 250%, a tensile stress at the natural draw ratio of at least 22 MPa, and a tensile stress at second yield of at least 12 MPa. In some embodiments, the polyethylene copolymer can have a CDBI of at least 70%, a melt index I.sub.2.16 of from 0.1 to 15 g/10 min., a density of from 0.910 to 0.940 g/cm.sup.3, a melt index ratio I.sub.21.6/I.sub.2.16 of from 30 to 80, and an Mw/Mn ratio of from 2.5 to 5.5. The stretch films are particularly useful in bundling and packaging applications.