The　problem　of　mixed　H-2/H-infinity　control　is　considered　for　a　class　of　uncertain　discrete-time　nonlinear　stochastic　systems.　The　nonlinearities　are　described　by　statistical　means　of　the　stochastic　variables　and　the　uncertainties　are　represented　by　deterministic　norm-bounded　parameter　perturbations.　The　mixed　H-2/H-infinity　control　problem　is　formulated　in　terms　of　the　notion　of　exponentially　mean-square　quadratic　stability　and　the　characterisations　of　both　the　H-2　control　performance　and　the　H-infinity　robustness　performance.　A　new　technique　is　developed　to　deal　with　the　matrix　trace　terms　arising　from　the　stochastic　nonlinearities　and　the　well-known　S-procedure　is　adopted　to　handle　the　deterministic　uncertainities.　A　unified　framework　is　established　to　solve　the　addressed　mixed　H-2/　H-infinity　control　problem　using　a　linear　matrix　inequality　approach.　Within　such　a　framework,　two　additional　optimisation　problems　are　discussed,　one　is　to　optimise　the　H-infinity　robustness　performance,　and　the　other　is　to　optimise　the　H-2　control　performance.　Ail　illustrative　example　is　provided　to　demonstrate　the　effectiveness　of　the　proposed　method.