A method and a storage and manipulation system for manipulating and transferring cassettes used for storage. The system includes a rack for storing cassettes. The rack includes supports on which the cassette rests. A transfer device includes a slide, onto which the cassette can be transferred. The slide includes a lifting and lowering movement. The transfer device also includes grippers that grip the cassette and moving it onto or off the slide. The slide can be placed underneath the front part of the cassette and, by a lifting movement, elevate the front part of the cassette such that the cassette can be transferred along the support onto the slide. A rear part of the cassette is simultaneously supported by the support. The slide can also lower the front part of the cassette onto the support when the rear part of the cassette is transferred onto the support of the rack.