In optical fiber Communication system dispersion compensation has become one of the major topics of importance and research nowadays. This is because any presence of dispersion might leads to pulse spreading which might cause inters symbolic interference (ISI) and which leads to signal degradation. In this paper six different model are considered for dispersion compensation. Dispersion compensation fiber (DCF) is used to design first three models by using its three different configurations of pre-compensation, post-compensation, symmetrical compensation and Fiber Bragg Gratings (FBG), uniform FBG, IDCFBG are used for designing rest of three dispersion compensation models. Single channel optical system length of 100 km with data rate of 2.5 Gbps and 10 Gbps is used to design each model and is simulated by using optisystem software package. All the designs are compared with respect to the quality factor (Q-factor) and bit error rate (BER). With the outcome of the simulations results it is seen that post–compensation DCF model is the promising approach.