We present the Northern Massive Dim Stars Survey (NoMaDS), a high-resolution spectroscopic campaign at the 9.2m Hobby-Eberly Telescope. The project aims at building the most complete and homogeneous spectroscopic database of hot, massive Galactic OB stars. NoMaDS is part of an international collaboration that combines observations from Chilean, Spanish, and Texan facilities. The contribution of NoMaDS is to complement the other sister surveys by providing high signal-to-noise echelle spectra (R=30000) of Galactic OB stars that are too faint for smaller ground-based telescopes. NoMaDS will provide a sample of about 200 stars, many of which have never been observed before at such a high resolution. Here we present the details of the survey, as well as echelle spectra obtained with the High Resolution Spectrograph since May 2011. This includes spectra of standard OB stars, Wolf-Rayet stars, binary systems, and oblique magnetic rotators. This survey will provide unprecedented spectroscopic database for a more accurate spectral classification, a quantitative analysis using atmosphere modeling, the detection and follow up of the orbits of massive spectroscopic binaries as well as the study of diffuse interstellar bands.