The stability of the bound P and D states of the H-2(+) system, where the nuclei and the electron interact through a screened Coulomb (Yukawa-type) potential exp(-mu r)/r, has been studied for different values of the screening parameters mu using correlated exponential wave functions in the framework of Ritz variational principle. The critical values of the screening parameters for the bound S, P and D states are reported for which H-2(+) system is stable, while all the possible fragments are unbound, that is, it shows Borromean binding. (C) 2011 Elsevier B. V. All rights reserved.