The design of FIR multi notch filter (NF) has been evolved from IIR NF. Mathematical formulas to compute the coefficients of impulse response h(m) for the proposed design has been given. Rejection bandwidth can be controlled by varying ‘r’, the pole length of the prototype IIR NF. Special case of notches at ?1 and ?2 with the condition [cos?1.cos?2 = ? 1/2] leads to half the coefficients h(m) as zeros, resulting in an efficient multi notch filter design.