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The supersymmetrical intertwining relations are the most productive part ofthe supersymmetrical method in two-dimensional Quantum Mechanics. Mostinteresting are relations with hyperbolic form of derivatives in supercharges.So far, several explicit solutions were found, and they provide nontrivialtwo-dimensional potentials which were further studied by means ofsupersymmetrical methods. In the present paper the general solution ofintertwining relations with hyperbolic structure of supercharges is obtained.The corresponding potentials are built explicitly, and it is evident that someof them were not known before now.

General Solution of the Two-Dimensional Intertwining Relations for Supercharges with Hyperbolic (Lorentz) Metrics