One of the efficient and most popular technique for designing sharp 1-D linear phase FIR filters is the Frequency Response Masking (FRM) approach. It is an effective method for the design of high speed , low power, sharp FIR digital filters with a small number of non-zero coefficients. Very recently, a modified McClellan transformation(T1 and T2) is proposed (Jie- Cherng Liu and Yang-Lung Tai, 2011) for converting 1-D linear phase FIR digital filter to 2-D digital filter, in which the transformation is completely multiplierless. So the resulting 2-D filter contains the same number of multipliers as the 1-D digital filter. In this paper, our aim is to design a 2-D linear phase FIR filter which is completely multiplierless , by designing a multiplier free 1-D linear phase FRM FIR filter and using multiplierless transformation.