  Supersymmetrical intertwining relations of second order in derivatives allow
to construct a two-dimensional quantum model with complex potential, for which
{\it all} energy levels and bound state wave functions are obtained
analytically. This model {\it is not amenable} to separation of variables, and
it can be considered as a specific complexified version of generalized
two-dimensional Morse model with additional $\sinh^{-2}$ term. The energy
spectrum of the model is proved to be purely real. To our knowledge, this is a
rather rare example of a nontrivial exactly solvable model in two dimensions.
The symmetry operator is found, the biorthogonal basis is described, and the
pseudo-Hermiticity of the model is demonstrated. The obtained wave functions
are found to be common eigenfunctions both of the Hamiltonian and of the
symmetry operator.
