The present invention provides a method for manufacturing a display device having a TFT that can be operated at high speed while using a small number of photomasks and improving the utilization efficiency of materials, where the threshold value is difficult to be varied. In the invention, a catalytic element is applied to an amorphous semiconductor film and the amorphous semiconductor film is heated to form a crystalline semiconductor film. After removing the catalytic element from the crystalline semiconductor film, a top-gate type thin film transistor with a planar structure is manufactured. Moreover, by using the droplet discharging method where an element of a display device is formed selectively, the process can be simplified, and loss of materials can be reduced.