The solid-state nanopore has attracted much attention as a next-generation DNA sequencing tool or a single-molecule biosensor platform with its high sensitivity of biomolecule detection. The platform has advantages of processability, robustness of the device, and flexibility in the nanopore dimensions as compared with the protein nanopore, but with the limitation of insufficient spatial and temporal resolution to be utilized in DNA sequencing. Here, the fundamental principles of the solid-state nanopore are summarized to illustrate the novelty of the device, and improvements in the performance of the platform in terms of device fabrication are explained. The efforts to reduce the electrical noise of solid-state nanopore devices, and thus to enhance the sensitivity of detection, are presented along with detailed descriptions of the noise properties of the solid-state nanopore. Applications of 2D materials including graphene, h-BN, and MoS as a nanopore membrane to enhance the spatial resolution of nanopore detection, and organic coatings on the nanopore membranes for the addition of chemical functionality to the nanopore are summarized. Finally, the recently reported applications of the solid-state nanopore are categorized and described according to the target biomolecules: DNA-bound proteins, modified DNA structures, proteins, and protein oligomers.