NoSQL databases are non-relational databases that are designed to be distributed and to scale horizontally. They avoid the traditional table-based relational database structure and can handle large volumes of data across simple and complex data types. The document provides a brief history of NoSQL databases and describes the four main types: key-value, column-oriented, graph-based, and document-oriented. It also discusses the CAP theorem and how NoSQL databases sacrifice consistency for availability and partition tolerance.