The liquid displays are widely used in the present world, but good optical parameters of them are obtained only for standard applications. In the case of special conditions, for example high level of external lighting, their optical parameters such as luminance, contrast ratio, viewing angle and color visualization are often insufficient. Such a situation occurs, for example in plane cockpits, where the external illuminations can achieve very high level. Therefore, to obtain a display, which can be used in such places, optimization procedure of it should be carried out. This procedure should give the information, how the properties of the individual elements of a display influence his optical parameters. Because of the construction of LC display is not simply and many parameters influence his optical properties, to do optimization procedure of a display, the mathematical model and numerical program of a light propagation through the display is needed. Assumed model should reflect the real conditions of the display work and should not include too many simplifications. The main aim of presented work is the analysis of a reflective TN display as regards his usefulness to color visualization under high external lighting. The numerical simulation of such a display using the numerical program basing on mathematical model worked out in our Institute was done. This simulation was carried out, firstly, to determine the optical parameters of a display such contrast ratio and luminance in dependence on properties of applied polarizers and secondly, to determine the changes of color visualization as a function of driving voltage and optical matching of liquid crystal layer for chosen polarizing films. After the numerical simulation the experimental verification process was carried out. This process was done to confirm correctness of assumed mathematical model.