There are always trend disturbances in design of experiment, which arise from the time trend or the space trend. In this paper, several applications of magic squares and perfect magic squares in trend free plans are discussed. Firstly, based on the combinational properties of magic squares, a class of plans which keep the estimations of design factors and trend disturbance factors independent are obtained. Moreover, by using perfect magic squares, the trend free plans with more factors are provided. Finally, some construction methods of such trend free plans are developed by magic squares and perfect magic squares. Meanwhile, the results between concentric magic squares and cross validation are also proved.