Abstract: This paper presents a novel method for convolution of two finite length sequences using hardware description language(VHDL). Convolution is widely used in digital signal processing. The proposed design replaces conventional multiplier with reversible Vedic multiplier. The proposed design consumes only less area and have higher speed than existing method. Vedic mathematics is world renowned for its quicker mental calculation approach. Urdhva Tiryakbhyam Vedic multiplier is efficient in terms of both power and speed. The comparison of existing method with conventional is done using XILINX software.