Here, the new offset limited common-diffraction-surface (CDS) stacking method is introduced to enhance the quality of zero offset stacked section of low-fold seismic data in a complex structure that have the problem of conflicting dips. For this purpose, the CDS travel time formula is used in a defined offset range for each sample and target zone to compute the offset limited CDS operator. To define the offset range used in CDS operator for each t0, a linear function was designed that varies with time. In this new method the volume of data that is used to stack could be reduced to one third compared tho the conventional CDS stack method. To solve the problem of imaging in complex situations, a seismic data set was selected for the application of the offset-limited CDS stack and the conventional CDS stack method. The problem of conflicting dips in these data was solved by the offset-limited CDS method as well as the CDS stack method, but in the offset-limited method processing time reduced to less than half.