A 4-methyl-1-pentene polymer having: a unit derived from 4-methyl-1-pentene of 90 to 100% by mol; a unit selected from ethylene and an α-olefin, other than 4-methyl-1-pentene, having 3 to 20 carbon atoms of 0 to 10% by mol; and the polymer satisfying the following requirements: (a) a meso diad fraction measured by 13C-NMR within the range of 98 to 100%; (b) a ratio of Z-average molecular weight Mz to weight-average molecular weight Mw measured by GPC within the range of 2.5 to 20; (c) a ratio of weight-average molecular weight Mw to number-average molecular weight Mn measured by GPC within the range of 3.6 to 30; (d) a melt flow rate measured under conditions of 260° C. and a 5 kg load (ASTM D1238) within the range of 0.1 to 500 g/10 min; and (e) an amount of a decane-soluble portion at 23° C. is 5.0% by mass or less.