Tunneling of composite particles refers to the quantum mechanical phenomenon where particles made up of smaller constituents, such as protons or neutrons, can pass through potential energy barriers that they classically shouldn't be able to cross. This behavior is rooted in the principles of quantum mechanics, where the wave-like nature of particles allows for a probability of existing on the other side of a barrier, despite insufficient energy to overcome it. This phenomenon plays a crucial role in processes like nuclear fusion and radioactive decay.