We discuss the properties of the non-Hermitian PT-symmetric twoscalar fields model. We investigate stability areas of this system and properties of vortices that emerge in the system of two interacting scalar fields. The phase diagram of the model contains stable and unstable regions depending on PT-symmetry breaking, which intercross the regions of U(1)-symmetric and U(1)-broken phases in a nontrivial way. At non-zero quartic couplings, the non-Hermitian model possesses classical vortex solutions in the PT-symmetric regions. We also consider a close Hermitian analog of the theory and compare the results with the non-Hermitian model.