A peaceful transition of power means when one person or group stops being in charge of something and another person or group takes over, without any fighting or violence. It's like when the teacher leaves the classroom and a new teacher comes in, or when the captain of a sports team hands over the responsibility to a new captain. In countries, it's like when the current president or leader finishes their term and a new president or leader takes over without any fighting or violence. It's important to have a peaceful transition of power because it helps to maintain stability and order in a society.