The invention relates to ferritic stainless steel with good wrinkle resistance and a production method thereof. The ferritic stainless steel comprises the following components by weight percentage: less than or equal to 0.02 percent of C, less than or equal to 0.02 percent of N, 0.10-0.50 percent of Si, 0.10-0.50 percent of Mn, less than or equal to 0.03 percent of P, less than or equal to 0.01 percent of S, 16-30 percent of Cr, less than or equal to 1.00 percent of Ni, 0.15-0.40 percent of Nb, less than or equal to 16 percent of Nb/(C+N), less than or equal to 0.010 percent of O, less than or equal to 1.00 percent of Cu and the rest being Fe and inevitable impurity elements. Since the stabilization element Ti which can damage the surface quality of continuous casting and increase the brittle transition temperature is not added, and only the stabilization element Nb is added, the invention can reduce the quantity of casting blank repair and the strip breakage risk, improve the surface quality and overall performance, eliminate the wrinkle of the surface of the ferriticstainless steel cold-rolled plate with a medium and high Cr content, reduce the wear and repair loss during the production process, and decrease the production cost.