We present several model atmospheres for a typical hot metal-rich DA white dwarf, T-eff = 60,000 K, log g = 7.5. We consider pure hydrogen models, as well as models with various abundances of two typical ''trace'' elements-carbon and iron. We calculate a number of LTE and non-LTE models, taking into account the effect of numerous lines of these elements on the atmospheric structure. We demonstrate that while the non-LTE effects are not very significant for pure hydrogen models, except for describing correctly the central emission in Ha, they are essential for predicting correctly the ionization balance of metals, such as carbon and iron. Previously reported discrepancies in LTE abundance determinations using CIII and CIV lines are easily explained by non-LTE effects. We show that if the iron abundance is larger than 10(-5), the iron line opacity has to be considered not only for the spectrum synthesis, but also in the model construction itself. For such metal abundances, non-LTE metal line-blanketed models are needed for detailed abundance studies of hot, metal-rich white dwarfs. We also discuss the predicted EUV spectrum and show that it is very sensitive to metal abundances, as well as to non-LTE effects.