The invention features a hot melt adhesive composition based on olefin polymers that can be used for elastic attachment in the manufacture of a disposable article. The hot melt adhesive includes from about 3 to about 10% by weight of a first propylene-based copolymer having a melt index measured by ASTM D1238 (190° C., 2.16 kg) of no greater than about 5, a second propylene-based polymer with a viscosity at 190° C. of no greater than about 5000 cps, a first tackifying agent having a softening point of at least about 90° C. and from about 5% by weight to about 20% by weight of a plasticizer.