Having a syndiotactic 4-methylpentene-1 polymer

A structural unit X derived from 4-methylpentene-1, ethylene and having 3 to 20 carbon atoms α- olefin (except 4-methylpentene-1) structural units derived from one or more selected from Y and the following requirements [1] to [3] having a syndiotactic structure that meets all of the 4-methylpentene-1-based polymer comprising a layer consisting of the 4-methylpentene-1 polymer, adhesive resin composition providing the laminate comprising a layer comprising the intermediate layer and the olefinic polymer consists of things. [1] The content of the constitutional unit X x occupying in polymer (mol%), the content of the structural unit Y y (mol%) occupied in the polymer, when the x + y = 100, 80 ≦ x ≦ 100, and is 20 ≧ y ≧ 0. [2] 135 ° C. in decalin solution intrinsic viscosity measured at ([eta]) is, 0.65 dl / g or more, or less 10.0 dl / g.