Thermoplastic polymer composition, multilayer film using said composition, and molded article

The present invention addresses the problem of providing a thermoplastic polymer composition that exhibits a bipolar adhesiveness, and a multilayer film comprising the thermoplastic polymer composition and a substrate and having an excellent surface smoothness. This problem is solved by a thermoplastic polymer composition containing, relative to 100 parts by mass of (A) a thermoplastic elastomer that is a block copolymer of (S) a polymer block containing an aromatic vinyl compound unit and (D) a polymer block containing a conjugated diene compound unit, or is a hydrogenated product of said block copolymer, 1-20 parts by mass of (C) a (meth)acrylic resin, and 1-50 parts by mass of (B) at least one polypropylene resin, and by a multilayer film having a substrate layer and a layer comprising the thermoplastic polymer composition.