A computer program and a system for controlling walking of a mobile robot, notably a humanoid robot moving on two legs. Conventionally, control was guided by driving a zero moment point. Such driving was performed within a fixed coordinate system connected to a progression surface and assumed knowledge of the characteristics of said surface and the creation of a provisional trajectory. Such driving encountered significant limitations due to the nature of the progression surfaces on which walking can effectively be controlled and an obligation to have a perfect knowledge of their geometry; and also in respect to the necessary computing power, and the appearance of the walk which bore little resemblance to an actual human walk. The invention overcomes such limitations by providing a walk which includes a pseudo-free or ballistic phase, an impulse phase imparted by the heel of the robot, and a landing phase.