The impact of new interactions on the triviality and stability Higgs-boson mass bounds has been studied. The interactions have been parame trized in a model-independent way by a set of effective operators of dimension 6. Constraints from electroweak observables at 1-loop level have been included. In the analyzed region of scale of new physics \Lambda \simeq 2 \div 50 TeV the classic triviality bound remains unchanged. An extension of the triviality condition that has been introduced leads to strong constraints on the possible models. The stability bound on the Higgs boson mass is substantially modified depending on the scale \Lambda and strength of coefficients of relevant effective operators.

PACS numbers: 14.80.Bn, 14.80.Cp