The article is devoted to the investigation of four-element boundary value problem of Karleman type for sectionally bianalytical functions withdiscontinuityline L = {t : |t| = 1}. Aconstructivemethodfor solution of the problem concerned in a socalled nondegenerate case was found. It is established that solution of the investigated problem consists of solution of two generalized and two usualscalar boundary value problems of Riemann for sectionally analytical functions with discontinuity line L.
