This paper investigates octagonal symmetric quasicrystalline (QC) dielectric media to realize slow-light propagation of resonances inside the band gap region. The process can be initiated by designing different configurations of planar waveguide patterns. The finite-difference time-domain (FDTD) method clearly allows seeing the occurrence of band gaps in transmission spectrum for no-defect case. The line-defect case creates resonant modes of QCs structure. The slow light properties are investigated in terms of group index value and dispersion features. Monitoring the propagation of input Gaussian pulse inside the waveguide region, the slowdown factor ng is extracted. The findings of the present work show that QCs are very promising photonic structures for engineering the group velocity of light. © 2012 IEEE.