of targets, [18][19][20] transmission of multiple vortex modes to enhance the communication capacity, [21,22] generation of multiple beams in space for computational imaging, [23,24] and control of EM waves in a digital manner from the information science perspective. [25][26][27][28][29][30] The phase distributions of metamaterials play the key role in realizing the above unnatural physical phenomena and interesting functionalities, whereas the existing theories and methods are usually focused on the performance of metamaterials with phase gradients in space, so that the frequencydomain properties are rarely explored.Here, we propose the general concept of space-frequency-domain gradient metamaterials in which new degrees of freedom are achieved by introducing frequency-domain phase gradients to the metamaterials. Additionally, we present a theoretical method for obtaining the frequency gradients by using the derivatives of phase gradients over the frequency, which generates frequency-variant uniform phase patterns in the working band. By designing the required space-domain gradients and frequencydomain gradients of metamaterials, we analyzed three kinds of typical applications, including 2D flexible beam scanning, continuous transformations of vortex modes, and generation of multiple beams in space with desired transmission directions and modes based on the new concept and approach. These new features of space-frequency-domain gradient metamaterials are analyzed theoretically and experimentally.