<p>A heat shrinkable film or multilayered film comprising at least one layer comprising an EVOH (A) having an average ethylene content of 20 to 60 mol% and an areal shrinkage when immersed in hot water at 90 DEG C for 1 minute of at least 10% and having thermal characteristics satisfying the following condition (i> 1 </= ¦{T(1) - T(2)} - {t(1) - t(2)}¦ </= 20 (i> wherein 1 </= ¦t(1) - T(1)¦ </= 20 in the case of T(1) = T(2) and t(1) = t(2) and wherein T(1) and T(2) represent peak temperature ( DEG C) on the highest temperature side and lowest temperature side respectively in differential scanning calorimetry (DSC) measurement of said EVOH (A) and t(1) and t(2) peak temperatures originating from T(1) and T(2), respectively, in DSC measurement of said EVOH having been treated with an alkaline solvent.</p>