We observed that the annealing at variable temperature allows to develop amorphous magnetic microwires with graded magnetic anisotropy. In such microwires, annealed with a temperature gradient, gradual variation of the hysteresis loops along the microwire length is observed. The peculiarity of such microwires with graded magnetic anisotropy and rectangular hysteresis loops is that in such microwires the energy landscape and hence the domain wall features, such as the domain wall velocity can be effectively controlled. Obtained spatial distribution of magnetic anisotropy must be attributed to a gradual modification of the domain structure along the length of the microwires annealed in a temperature gradient.Accordingly, we propose a rather simple route involving -annealing in a temperature gradient to design graded magnetic anisotropy in magnetic microwires.