The CANDLE burnup strategy, where the distributions of fuel nuclide densities, neutron flux, and power density movewith the same constant speed and without any change in their shapes, is applied to the block-type high temperature gas cooledreactor. If it is successful, a burnup control rod can be eliminated, and several merits are expected. This burnup may be realized byenriched uranium and burnable poison with large neutron absorption cross-section.With the fuel enrichment of 15%, gadoliniumconcentration of 3.0%, and fuel cell pitch of 6.6 cm, the CANDLE burnup is realized with the burning region moving speed of29 cm/year and the axial half-width of power density distribution of 1.5 m. When the concentration of natural gadolinium is higher,the burning region moving speed becomes slower and the burnup becomes higher, though the effective neutron multiplicationfactor becomes smaller. When U-235 enrichment is higher, the effective neutron multiplication factor becomes larger, the speedbecomes slower, and the burnup becomes higher. When the pitch is wider, the effective neutron multiplication factor becomeslarger, the speed becomes faster, and the burnup becomes higher.