A process for producing a thermoplastic elastomer composition, which
comprises the steps of: (1) supplying at least an olefin copolymer
rubber and an olefin resin to a plasticization-kneading zone of a biaxial
extruder, which zone has at least two kneading discs forming a tip
clearance of 1% or larger and smaller than 10% of an inner diameter of a
cylinder in the biaxial extruder, thereby forming a melt-kneaded product;
and (2) supplying an organic peroxide to a dynamically cross-linking zone
of the biaxial extruder, which zone (i) is located after the
plasticization-kneading zone, and (ii) has at least two kneading discs
forming a tip clearance of 1% or smaller of the inner diameter of the
cylinder in the biaxial extruder, thereby dynamically cross-linking the
melt-kneaded product with the organic peroxide.