Abstract: A method for manufacturing a semiconductor thin film is provided which can form its crystal grains having a uniform direction of crystal growth and being large in size and a manufacturing equipment using the above method, and a method for manufacturing a thin film transistor. In the above method, by applying an energy beam partially intercepted by a light shielding element, melt and re-crystallization occur with a light-shielded region as a starting point. The irradiation of the beam gives energy to the light-shielded region of the silicon thin film so that melt and re-crystallization occur with the light-shielded region as the starting point and so that a local temperature gradient in the light-shielded region is made to be 1200° C./?m or more. In the manufacturing method, a resolution of an optical system used to apply the energy beam is preferably 4 ?m or less.