An analysis of the confinement loss and Group Velocity Dispersion (GVD) due to their importance is performed by means of the finite element method for two kinds of fibers, an Air-Hole Assisted Optical Fiber (AHAOF) and a Holy Fiber (HF). Both structures are based on a subset of a triangular array of cylindrical air holes; the cross sections of these inclusions are circular and the refractive index of the AHAOF core is higher than clad, and a missed central hole forms the HF core. The group velocity dispersion shows different behaviours in different ranges of wavelength also numerical results which we obtained agree well with the results of the other reported methods for HF dispersion but the results of the AHAOF dispersion were different from the outcome of the finite difference method for this fiber. The numerical results indicate that confinement loss increases with increasing wavelength and they show that the confinement loss of AHAOF is higher than HF because the smaller air holes in structure of HF can confine fields in the core region more than AHAOF.
