A cylindrical jigsaw puzzle includes a bottom rim (2) having an outer flange (21), an inner flange (22) and a first gap (23) between the outer flange and the inner flange, a top rim (3) having a ring body (31), a positioning flange (32) extending from an inner face of the ring body and a second gap (34) defined between the ring body and the positioning flange, top puzzle pieces (11) each having a first assembly edge (111) corresponding to and received in the second gap of the top rim and bottom puzzle pieces (13) each having a second assembly edge (131) corresponding to and received in the first gap of the bottom rim. Combination among the top puzzle pieces with the top rim mounted thereon, bottom puzzle pieces with the bottom rim mounted thereunder and a cap mounted on top of the top rim is able to accomplish a cylinder.