Broadband super-resolution imaging is important in the optical field. To achieve super-resolution imaging, various lenses from a superlens to a solid immersion lens have been designed and fabricated in recent years. However, the imaging is unsatisfactory due to low work efficiency and narrow band. In this work, we propose a solid immersion square Maxwell’s fish-eye lens, which realizes broadband (7–16 GHz) achromatic super-resolution imaging with full width at half-maximum around $0.2\lambda$ based on transformation optics at microwave frequencies. In addition, a super-resolution information transmission channel is also designed to realize long-distance multi-source super-resolution information transmission based on the super-resolution lens. With the development of 3D printing technology, the solid immersion Maxwell’s fish-eye lens is expected to be fabricated in the high-frequency band.