The machining of titanium alloys by traditional methods causes many disadvantages of both technical and economic nature. These materials are characterized by very low thermal conductivity and belong to hard to machine materials. When machining with conventional methods, there is a problem of chips thermal softening and increased tool wear. The aim of this article was to present the issue of wire electrical discharge machining of Titanium alloy Ti6Al4V. In particular, the comparison of brass wire and non-consumable molybdenum electrode and flushing techniques were analyzed. The relationship between the overheating of the machined surface layer and the magnitude of stresses and the formation of micro cracks on the machined surface was discussed. An attempt should be made to investigate how flushing efficiency affects the machined shape, structural changes and chemical composition of the titanium alloy’s surface layer.