A training machine for strength training and rehabilitation includes: a machine frame, a weight carrying frame, a weight package carried by the weight carrying frame, pull or press elements which are turnably provided on the machine frame and which are arranged to be moved backwards and forwards while a selected pre-determined number of weights in the weight package is arranged to be turned about a first axis, alternatively, by connection elements connected to the pull or press elements, and drive members to lift weights by a first force and to lower the weights by a second force, the first force being less than the second force, the weight carrying frame being turnable on the machine frame about a substantially horizontal second axis and the first and second axes being substantially perpendicular to each other.