Accumulative Roll Bonding (ARB) is one of the main techniques to manufacture nanocomposites, however, due to the large number of parameters that control this process, its application is relatively expensive. The present work considers a simple response surface methodology to study the interaction effect between the selected ARB parameters on the tensile strength and the hardness of the ARBed composite sheets. We investigated the characterization, modeling, and numerical optimization of the accumulative roll-bonded (ARBed) AA1050 composite sheets produced using a number of passes ranging from 1 to 7 and reinforced with different SiC content (0, 1, 3, and 5 wt%). The effect of the number of passes and SiC content on the microstructure, phase analysis, tensile, and hardness properties have been investigated for the ARBed sheets and their composites. Also, the fracture surface of the tensile-tested specimens was studied using SEM analysis. Numerical optimization was conducted using the developed model to determine the optimum parameters of the ARB process in the designed experiments. The modelling analysis results confirm the significance of the applied ARB parameters on the properties of the ARBed sheet composites. The numerical optimization analysis indicates the optimum ARB factors are 7 passes and 3.2 wt% of SiC content to produce an AA1050/Ni-SiC composite sheet with 249.2 MPa tensile strength and 107.8 HV hardness.