This paper presents a new method to improve the frequency response of CIC compensation filter. After the CIC filter cascaded the fir filter which has inversed magnitude response to CIC compensation filter was proposed, which improved the pass band and the transition band features of the CIC filter and improved the performance of CIC compensation filter. The decimation factor of the CIC filter is M and stage of it is N. The new parameter Fo was introduced. It presents new CIC compensation filter to compensate for CIC filter that pass band flatness is improve .Here we used three coefficients so less computation is required .The resulting structure is multiplier less and exhibits small passband droop in comparison to CIC filter.