In inertial confinement fusion, high-precision x-ray imaging is crucial for understanding the states of matter under extreme conditions. To observe the target asymmetry during compression, multiple imaging spots with varying energy responses are necessary. However, integrating multiple imaging channels in a grazing incidence x-ray imaging scheme is challenging, and there is an urgent need for effective combination of multi-color and high-throughput diagnostics. This study presents a design method for a multi-channel integrated Wolter microscope with high spatial resolution, wide-band response, and high throughput. The basic optical configuration, adjustment method, and multi-channel integration scheme are discussed in detail. A 10 keV-class three-channel integrated Wolter microscope is proposed for verification, with an estimated spatial resolution better than 4.0 µm in a field of view of ±500µm. The peak response efficiencies for each imaging channel are calculated as 5.2×10−5sr, 8.6×10−5sr, and 2.2×10−4sr, respectively.