The invention offers a method of producing a semiconductor device that can suppress the worsening of the property due to surface roughening of a wafer by sufficiently suppressing the surface roughening of the wafer in the heat treatment step and a semiconductor device in which the worsening of the property caused by the surface roughening is suppressed. The method of producing a MOSFET as a semiconductor device is provided with a step of preparing a wafer 3 made of silicon carbide and an activation annealing step that performs activation annealing by heating the wafer 3. In the activation annealing step, the wafer 3 is heated in an atmosphere containing a vapor of silicon carbide generated from the SiC piece 61, which is a generating source other than the wafer 3.