In a method for automatically applying cut strips of material with varying lengths onto a tire building drum for manufacturing green tires a cut strip of material, comprising a forward portion with a leading edge, a middle section, and an end portion, is fed with a conveyor belt to a tire building drum. The leading edge of the forward portion is placed onto the tire building drum, being rotated at a first circumferential speed, that is substantially identical to a first feeding speed of the conveyor belt, during application of the forward portion. The first circumferential speed of the tire building drum is increased to a second constant circumferential speed for applying the middle section. Simultaneously, the first feeding speed of the end less conveyor belt is increased to a second feeding speed which is controlled as a function of the actual length of the cut strip of material. The second constant circumferential speed is reduced to a third circumferential speed and the second feeding speed is reduced to a third feeding speed, that is substantially identical to the third circumferential speed, for applying the end portion.