The Mobile WiMAX simulation model is implemented by using MATLAB code. The simulation model consists of different phases which will help us to model the transmitter and receiver section. In the next phase, the data is being modulated by using the modulation methods QPSK and QAM followed by OFDM transmitter. These phases can be used to show the performance of these modulation methods under varying condition. The Multipath Rician fading model is implemented to introduce the fading in the transmitter data. Receiver section is used to receive data from channel will be fed into the OFDM demodulation. In the next phase, Fast Fourier Transform is used to disassemble OFDM frame. After that convolution encoding is applied to data and interleaving is carried on by using MATLAB function. BPSK method is used to change the data in the form of bit information to be symbols. We had used Different functions to modulate and demodulate data.