The database management system best known for its use of tables and SQL (Structured Query Language) is Relational Database Management Systems (RDBMS). This system organizes data into structured formats using rows and columns, making it easy to access and manipulate the data through SQL queries. Popular examples of RDBMS include MySQL, PostgreSQL, and Microsoft SQL Server. The tabular structure allows for efficient data retrieval, consistency, and integrity, making RDBMS vital for applications requiring reliable data management in various industries, including finance, healthcare, and e-commerce.