A space-variant lens array on a curved surface (SVLACS) with a large field of view is proposed to decrease the size and improve the performance of a space-variant lens array on a plane (SVLAP). The whole mathematical models are developed and tested, and comparative simulations between SVLACS and SVLAP are carried out. Under the identical simulated situations, the radius of SVLACS decreases to 58% of SVLAP. Meanwhile, the performance of optical information loss rate is improved from 0.22 to 0.08. The results are beneficial for designing a retina-like image sensor based on SVLACS.