Hyperspectral imaging (HSI) is a technique that combines spectroscopy and imaging to capture the full range of continuous spectral information during imaging. It is a widely used method in a number of fields, including agricultural management, urban planning and resource exploration. However, the conventional techniques employed in hyperspectral imaging for remote sensing are vulnerable to satellite vibration, which limits the spatial resolution of the image. In order to achieve both high spectral resolution and high spatial resolution of the imaging system, this study designed a visible-light hyperspectral imaging system based on single-pixel imaging. The system was constructed using a digital micromirror device (DMD) and a visible grating spectrometer to reconstruct the hyperspectral image using an algorithm. The pattern and sequencing were optimized prior to this reconstruction. The experimental results demonstrate the successful implementation of visible hyperspectral imaging with a pixel resolution of 128 × 128, a spectral resolution of 3 nm, and a spatial resolution of approximately 0.05 mrad. This system exemplifies the capacity to concurrently attain high spectral resolution and high spatial resolution in visible hyperspectral imaging, a capability of significant value in pivotal domains such as remote sensing, urban infrastructure monitoring, and low-altitude applications.