Constructors and destructors are special member functions in C++ that are used for initializing objects and cleaning up resources. Constructors are called automatically when an object is created and are used to initialize member variables. Destructors are called when an object is destroyed in order to clean up resources. There are different types of constructors like default, parameterized, and copy constructors. Constructors can be invoked implicitly, explicitly, or through initialization. Destructors have the same name as the class preceded by a tilde and are used to de-allocate memory allocated by the constructor.