Periodic dielectric structures called photonic crystals(PhCs) are being used in various sensors and devices. Since PhCs are designed to operate within certain frequency ranges, accuracy in structure becomes important. During the manufacturing process, random errors in geometry can be encountered. Two types of errors come to the forefront, surface roughness and positional randomness. Once the periodic structure becomes imperfect due to random errors, calculations for the desired frequency ranges must be performed using supercells. In this thesis, effect of surface roughness and positional randomness on photonic density of states are investigated for both TM and TE modes in two-dimensional honeycomb photonic crystals.