A method for producing hyperpolarized sample material for use in magnetic resonance investigations involves preparing a target material containing high γ nuclei with a short T1, a polarizing agent with a broad EPR line, and low γ nuclei with a long T1. The polarizing agent in the target material is irradiated with microwave radiation, wherein the target material is at a cryogenic temperature and exposed to a static magnetic field B0≧4.0 T, thus polarizing the high γ nuclei by DNP, and the polarization is transferred from the high γ nuclei to the low γ nuclei by Cross Polarization. A dissolved sample material is prepared containing the hyperpolarized low γ nuclei from the target material. Nuclei with a long longitudinal relaxation time T1 can thereby be quickly hyperpolarized to a high polarization level.