The present invention concerns a method for moving an exoskeleton (1) receiving a human operator, said exoskeleton (1) having a plurality of degrees of freedom, including at least one actuated degree of freedom and at least one non-actuated degree of freedom, the method being characterised in that it comprises the implementation of the following steps: (a) When a start request is received, generation and transmission of a command to at least one of said actuators so as to place the exoskeleton (1) in a swing state; (b) in a database stored in means for storing triplet data (12) of: - a set of virtual constraints on said actuated degrees of freedom, - a controller of said exoskeleton (1) capable of generating commands of said actuators so as to observe said virtual constraints, implementing at least one stable attractive trajectory, - a stability basin formed by all the points from which the execution of said controller allows convergence to said stable attractive trajectory; identification of a set of virtual constraints such that said swing state is within said stability basin associated with this set of virtual constraints; and (c) execution of the controller associated with the identified set of virtual constraints such that the exoskeleton (1) walks.