<p>With the emergence of super-resolution lenses such as superlenses and hyperlenses, the diffraction limit of approximately half wavelength is no longer unbreakable. However, superlenses are easily affected by weak intrinsic losses and hyperlenses fail to achieve perfect imaging, significantly constraining their practical utility. To address these challenges, here we propose a perfect hyperlens inspired by the metric of de Sitter spacetime in cosmology. Notably, perfect hyperlens is capable of self-focusing in geometrical optics while supporting propagating waves with exceptionally large wavenumbers, granting it key advantages such as ultra-high resolution, no aberration and strong robustness. Furthermore, we numerically demonstrate the hyperbolic focusing performance and mimic the de Sitter spacetime in naturally in-plane hyperbolic polaritons of α–MoO₃ films, which can be achieved via a gradient thickness profile. Our work provides cosmological insights into the field regulation in hyperbolic materials and greatly innovates the design principles of traditional imaging lenses.</p>