The database type that implements a non-relational data model is known as a NoSQL database. Unlike traditional relational databases, NoSQL databases use flexible schemas to store, retrieve, and manage unstructured or semi-structured data. They can handle large volumes of data and can scale horizontally, making them ideal for big data applications. NoSQL databases, such as MongoDB and Cassandra, support various data structures like documents, key-value pairs, graphs, and wide-column stores. This flexibility allows organizations to choose the most suitable database type to meet their specific data storage and processing needs.