Ever since its first discovery in 1911, superconductivity, which is an ordered phase of electronic state, has been regarded as one of the most fascinating topics in modern physics. Recently, remarkable advances in sample fabrication have greatly promoted the research of superconductivity, especially in the field of two-dimensional (2D) materials, where 2D Ising superconductors have sparked immense interests for their unique properties, holding promise in engineering topological superconductivity. In this review, we summarize recent works on both experimental and theoretical studies of 2D Ising superconductivity, with particular attention to the origin of Ising superconductivity as well as their novel properties. We conclude with a discussion of how these unconventional 2D Ising superconductors can play a role in the investigation of topological superconductivity, which is of potential in quantum computing.