A fixing structure for fixing a color wheel to a base of a projector is provided. The color wheel is rotatably installed and includes a color rotating disc having a plurality of color filters selectively transmitting light of a predetermined wavelength, and a driving source which drives the color rotating disc. The fixing structure includes a first cover member coupled to a base, and a second cover member coupled to the first cover member and together therewith encompassing the color wheel. A bracket is provided to which the color wheel is coupled, and a coupling unit couples the bracket to the second cover member. A buffer member is provided between the first and second cover members and between the bracket and the second cover member for reducing vibration.