Abstract: Low-dimensional materials have unique physical and chemical properties due to their atomic-scale size. Two-dimensional (2D) materials, such as graphene, have superior optical, electrical, mechanical, and thermal properties and great application potential in electronics, optoelectronics, energy, catalysis and other fields. Large-size high-quality single crystals are the basis of large-scale device applications. To this end, researchers have focused on the wafer-scale production of 2D single-crystal materials. The chemical vapor deposition (CVD) method has the advantages of high quality, strong controllability and good uniformity and has gradually become the first choice for the synthesis of high-quality 2D single crystals. The recent progress in research on 2D single-crystal films grown with the CVD method is summarized in terms of the conducting graphene, insulating hexagonal boron nitride and semiconducting transition metal chalcogenides. The synthetic strategy and growth mechanism of large-area 2D materials are discussed. The existing problems are pointed out, and the growth of high-quality 2D single-crystal films are predicted. The review provides a reference for further promoting the real applications of 2D single crystals.