To provide a film having low hygroscopicity and moisture permeability, adequate elasticity, no fragility, and excellent mechanical strength, and to provide a polarizing plate using the film and an image display.

The film contains a copolymer comprising (A) at least one of 2C or more -olefin, (B) at least one of cyclic olefin with a specific structure, and (C) at least one of non-conjugated diene with a specific structure, and having weight-average molecular weight of 50,000-1,000,000. A molar fraction of a repeating unit derived from the component (A) is in the range of 30(A)70 mol%, a molar fraction of a repeating unit derived from the component (B) is in the range of 30(B)70 mol%, and a molar fraction of a repeating unit derived from the component (C) is in the range of 0(C)1 mol%.