A heat shrinkable film and a heat shrinkable multilayer film excellent in balance of heat resistance, high shrinkability, high shrinkability particularly at a low temperature, resistance to spontaneous shrinkage, chemical resistance and rigidity, are provided. A heat shrinkable film and a heat shrinkable multilayer film obtained from a resin composition comprising an aromatic vinyl compound/conjugated diene block copolymer having a micro phase separation structure comprising a soft phase and a hard phase and further having a specific structure and a specific dynamic viscoelasticity spectrum and a styrene polymer having a syndyotactic structure, in a specific proportion.