A method and a server for training a generative stylization system to generate motion sequences for digital objects are provided. The method comprises: generating, based on a training motion feature vector representative of a given training motion sequence of a training digital object, a respective training motion content feature vector representative of a content of the given training motion sequence; stochastically generating a respective training motion style feature vector representative of a style of the given training motion sequence; generating, based on the respective training motion content and style feature vectors, a synthetic motion feature vector representative of a synthetic motion sequence; and training the generative stylization system to generate an in-use synthetic motion sequence by minimizing a difference between the training motion feature vector and the synthetic motion feature vector