The Source of Polarized Ions (SPI) of deuterons and protons with nearly resonant charge-exchange plasma ionizer is under construction at the LHEP, JINR. The ↑ D + ( ↑ H + ) current output of the source is expected to be at a level of 10 mA. The polarization will be up to 90% of the maximal vector (±1) for ↑ D + ( ↑ H + ) and tensor ( + 1, − 2 ) polarization for ↑ D + . Realization of the project is carried out in close cooperation with INR of the RAS (Moscow). The equipment available from the CIPIOS ion source (IUCF, Bloomington, USA) is partially used for the Dubna setup. The new source at the JINR NUCLOTRON accelerator facility will make it possible to increase the polarized deuteron beam intensity up to the level of 10 1 0 d /pulse.