Using the near-field strong-motion records obtained at Usu and Matsushiro, Japan, we develop the technique for determining Richter's local magnitudes ML to earthquakes recorded at very short distances. To determine ML we use the integrated ground velocities and the amplitudes on the standard Wood-Anderson records which are synthesized from accelerograms. The present scale is intended to coincide with the scale used for local earthquakes in Japan, which is logically consistent with the original ML scale. The distance-correction term is determined over the epicentral distance from 0 to 20km. The newly obtained values are slightly different from the original values. The results can be applied to near-field accelerograms of earthquakes in California as well as Japan.