The masses of (70,1-),(70,0+) and (70,2+) nonstrange and strange
baryons are calculated in the relativistic quark model. The
relativistic three-quark equations are found in the framework of the
dispersion relation technique. The approximate solution of these
equations using the method based on the extraction of leading
singularities of the amplitude are obtained. The calculated mass values
of the (70,L) multiplets are in good agreement with the experimental.