To provide a filter for a molten polymer that can smooth the flow of a molten polymer passed through a filter element and therefore can perform uniform and homogeneous filtration at a reduced pressure loss.

In this filter, a plurality of groove-like polymer passages 30 that guide a molten polymer passed through disk-like filer elements 25 to a discharge port 22 are formed around the periphery of a supporting shaft inserted along the center line of a filtration-chamber-forming body from the molten polymer discharge port 22, and each polymer passage 30 is formed in a taper in which its cross-sectional area gradually increases from the front end of the supporting shaft toward the discharge port 22.