This work presents a preliminary evaluation of the expected dose rate levels from prompt and delayed radiation around the Frascati Tokamak Upgrade (FTU) Tokamak machine, a future fusion experimental device operated with 2H. Great care is devoted to the machine, activation. The dose rate levels from activated materials are calculated by an ad hoc code, based on a priori semi-empirical evaluations of the neutron spectra and fluences. The most relevant nuclides contributing to the dose at different cooling times are identified. Finally, the radiation shielding design, the radiation monitoring system and the safety system are discussed.