It is intended to provide a method of producing a hollow construct, which may be in various shapes such as a fiber or a film as well as in various sizes and has chemical resistance, made of a fluorinated hydrocarbon polymer, a fluorinated carbon polymer or a polymer carrying a nitrogen-containing group, a silicon-containing group, an oxygen-containing group, a phosphorus-containing group or a sulfur-containing group having been introduced into the above-described polymer; and a hollow construct obtained by this method. The method of producing a hollow construct as described above is characterized by comprising the fluorination step wherein a construct made of a hydrocarbon polymer or a polymer carrying a nitrogen-containing group, a silicon-containing group, an oxygen-containing group, a phosphorus-containing group or a sulfur-containing group having been introduced into the above-described polymer is brought into contact with a treating gas containing fluorine under definite conditions and thus the treating gas is allowed to penetrate from the outer surface of the construct toward the inside thereof to thereby fluorinate the construct excluding the core part, and the removal step wherein the core part having been not fluorinated as described above is removed.