Abstract: Porous shaped bodies are disclosed, and an apparatus and method of their production by extruding a homogeneous, single-phase liquid mixture of polymer and mixing partner liquid at the temperature of mixture preparation through a nozzle downwardly with a linear velocity v.sub.1 into a cooling liquid that dissolves the polymer insubstantially or not at all at the cooling temperature, the cooling liquid being provided from entry of the extruded mixture until at least the point of start of solidification thereof in a substantially vertically arranged tubular zone surrounded by a wall, velocity v.sub.2 of cooling liquid in this zone being less than v.sub.1. The cooling liquid is preferably contained in a U-shaped tube and its level is controllable by dosing at entry and/or exit points.