NOVELTY - A thermoplastic resin composition (X1) contains an isotactic polypropylene (A1) (in wt.%) (1-90), a propylene-ethylene-alpha-olefin copolymer (B1) (9-98), a styrene-type elastomer (C1) (1-80) and an ethylene-alpha-olefin copolymer (D1) (0-70). Copolymer (B1) contains propylene structural unit (45-89 mol%), ethylene structural unit (10-25) and 4-20C alpha olefin structural unit (0-30). Copolymer (D1) has density of 0.85-0.91 g/cm3.    USE - For molded product, interior and exterior component of motor vehicles, household appliance compound, civil engineering and building material compounds, packaging sheet, liner of cap of packaging container, gasket, daily use product, decorative sheet, foodstuff packaging wrap film, film of monolayer or multi-layer structure, thermal construction film, wire for motor vehicles and machines, tubes, bottles, foam, laminate, mid sole and inner sole of footwear, solar cell sealing sheet, electrical and electronic device, and solar cell module of power generation equipment (all claimed), and also for television cabinet, stereo speaker box, video cabinet, sectional furniture, door, door frame, window frame, ceiling material, wall paper and stationary product.    ADVANTAGE - The thermoplastic resin composition provides molded product excellent flexibility, heat resistance, transparency, mechanical strength, damage resistance, stretchability, impact strength, abrasion resistance, water resistance, compressive strain-proof property, gas barrier property, glossiness, hardness and whitening proof property.    DETAILED DESCRIPTION - A thermoplastic resin composition (X1) contains an isotactic polypropylene (A1) (in wt.%) (1-90), a propylene-ethylene-alpha-olefin copolymer (B1) (9-98), a styrene-type elastomer (C1) (1-80) and an ethylene-alpha-olefin copolymer (D1) (0-70). The propylene-ethylene-alpha-olefin copolymer (B1) contains propylene structural unit (45-89 mol%), ethylene structural unit (10-25) and 4-20C alpha olefin structural unit (0-30). The ethylene-alpha-olefin copolymer (D1) has density of 0.85-0.91 g/cm3. INDEPENDENT CLAIMS are included for the following:    (1) molded product, interior or exterior component of motor vehicle, household appliance component, civil engineering or building material component, packaging sheet or cap liner, gasket, daily use product and decorative sheet, which has portion(s) consisting of the thermoplastic resin composition (X1);    (2) cap, which has the cap liner;    (3) packaging container, which has the cap;    (4) thermoplastic resin composition (X2), which contains an isotactic polypropylene (A2) (0-90), a propylene-alpha-olefin copolymer (B2) (5-95) having melting point of 100degreesC or less, when measured with differential scanning calorimeter (DSC), a styrene-type elastomer (C2) (5-95), an ethylene-alpha-olefin copolymer (D2) (0-70), and a softener (E2) (0-400) weight parts with respect to components (A2-D2) (100 wt.pts);    (5) cross-linked material of thermoplastic resin composition (X2), which obtained by cross-lined thermoplastic resin composition (X2);    (6) propylene polymer composition (X3), which contains a propylene polymer (A3) (10-98) which is insoluble in normal decane at 23degreesC, contains propylene structural unit (90 mol% or more) and has intrinsic viscosity of 0.01-10 dl/g in 135degreesC decalin, and a soft polypropylene-alpha-olefin random copolymer (B3) (2-90). The copolymer (B3) has intrinsic viscosity of 0.01-10 dl/g in 135degreesC decalin, triad tacticity (mm fraction) of 85-97.5%, when measured by 13C nuclear magnetic resonance (NMR), and melting point of 100degreesC or less, when measured by differential scanning calorific value analysis and molecular weight distribution of 1-3, when measured gel permeation chromatography (GPC). The copolymer (B3) contains propylene structural unit (60-75 mol%), ethylene structural unit (10-14.5 mol%) and 4-20C alpha-olefin structural unit (10-30 mol%);    (7) cap liner and foodstuff packaging wrap film, which has layer(s) consisting of the propylene polymer composition (X3);    (8) film of monolayer or multi-layer structure, which has layer(s) consisting of resin composition (X4) comprising an isotactic polypropylene (A4) (10-97), and a propylene-ethylene alpha-olefin copolymer (B4) (3-90). The copolymer (B4) has melting point of 100degreesC, when measured by DSC, and contains propylene structural unit (40-85 mol%), ethylene structural unit (5-30 mol%) and 4-20C alpha-olefin structural unit (5-30 mol%);    (9) thermal contraction film consisting of the film of monolayer or multi-layer structure;    (10) resin composition (X4), which contains a hydrocarbon resin (C4) (3-70 wt.pts) having number average molecular weight of 300-1400, measured by GBC and softening point of 50-160degreesC with respect to the components (A4,B4) (100 wt.pts);    (11) polyolefin-type decorative sheet having layer consisting of a propylene polymer composition (X5). The composition (X5) contains and an isotactic polypropylene (A5) (10-99 wt.pts) having melting point of 120degreesC or less and a propylene polymer (B5) (1-90 wt.pts);    (12) propylene-type resin composition (X6), which contains a propylene polymer (A6) (0-80) having melting point of 120-170degreesC, a propylene polymer (B6) (5-85) having melting point of 120degreesC or less, a elastomer (C6) (0-40) which is chosen from ethylene elastomer (C6-1) and styrene-type elastomer (C6-2), and an inorganic-filler (D6) (15-80);