The advantages of using a gasdynamic proton source based on electron cyclotron resonance in a compact neutron source with a proton accelerator of the DARIA project are discussed. A gasdynamic source of protons has been shown to provide a beam with a current of ~100 mA and a duration more than 100 μs at a repetition rate up to 1000 pulse/s. Using the "pepper-pot" method, measurements of the emittance have been performed of a beam generated by a gasdynamic source of electron cyclotron resonance with two geometric configurations of electrodes forming the beam: "spherical" and plane-parallel. It is shown that the normalized 4-rms emittance for both variants of the beam-formation system electrodes in the extraction voltage ranges from 41 to 48 kV and does not exceed 2π mm mrad.