A thermoplastic elastomer (TPE) compound is disclosed which has very low hardness by virtue of the use of a combination of high styrene content styrene-ethylene-ethylene-propylene-styrene copolymer, a conventional styrene-ethylene-ethylene-propylene-styrene copolymer, and a plasticizer. Super-soft extruded or molded plastic articles may be formed from pellets of the compound, with a resulting Shore OO Hardness of between about 35 to about 52. Molded articles may be prepared using injection molding techniques.