The object of the present utility model is to cope with the problems of large volume of the presently known cellpacking type of reactor and the poor effect of heat transfer, and to provide a shell-type reactor with radial baffle, which transfers heat well and reduce the volume of the reactor, comprising a shell (1) and an internal cold plate assembly (2), the internal cold plate assembly (2) fixed within the shell (1); wherein a gas radial distribution vessel (9) and a radial gas cylinder (10) fixed within the shell (1); the radial distribution vessel (9) and the radial gas cylinder (10) could counterchange according to the difference of the gas flow direction; several circles of radial baffling assemblies (12) are provided between the radial distribution vessel (9) and the radial gas cylinder (10), the radial baffling assemblies (12) consisting of several baffling components fixed in an interval mode, an axial baffling through groove or hole is provided between the adjacent baffling components. The present utility model has advantages of the great effect of heat transfer, the simple structure, the small overall size.