We propose a methodology for the determination of the residual stresses and strains in flat composite panels reinforced by nano-modified whiskered fibers. For the calculations of the effective properties of the whiskered monolayer we involved an approach based on the model of multi-layered cylindrical inclusion. The properties of the interphase whiskered zone are defined using the model of elliptical inclusions with chaotic-orientation. The residual stresses in the panels are defined with classical thermo-elasticity model for laminated composites. As an example, we examine a problem for residual stresses and strains in plate of CFRP panel reinforced by whiskered fibers with the carbon nanotubes on its surfaces. The computational results show that there is practically strong possibility to eliminate the residual stresses and strains in the material with various schemes of reinforcements. It is also shown that based on this proposed model, it is possible to predict the several variants of whiskering parameters that will allow us to reduce the anisotropy of the coefficients of thermal expansion in the composites.