Constraints are rules used to define and restrict the type of data that can be placed within MySQL tables. The document discusses several constraint types including NOT NULL, DEFAULT, UNIQUE, PRIMARY KEY, and FOREIGN KEY. It provides examples of how to implement these constraints when creating or altering tables, and demonstrates the behavior that results from adhering to or violating the constraints, such as errors generated or default values used. Foreign keys link data between tables, helping to enforce relational integrity.