In this paper, the Framelet Transform (FT) is proposed as a new modulation technique in the realization of Orthogonal Frequency Division Multiplexing (OFDM). Framelet Transform (FT) is used in the OFDM structure to serve as a modulator instead of conventional Fast Fourier techniques. As a result, the proposed FT-OFDM system improves Bit Error Rate (BER) performance, and keeps bandwidth efficiency and spectrum shape as good as conventional Fast Fourier transform (FFT)-based OFDM. The new structure was tested and compared with conventional FFT- OFDM, Wavelet based OFDM system (DWTOFDM), Multi-Wavelet based OFDM system (DMWT-OFDM), Packet-Wavelet based OFDM system (PWT-OFDM) and the proposed Framelet based OFDM system (FT-OFDM), for Additive White Gaussian Noise (AWGN), flat, and multi-path selective fading channels.