An apparatus (10) for transporting laboratory animals comprises a container (12), a cover piece (14), and a closure piece (16). The container (12) has an open top. The cover piece (14) is connectable with the container (12) for closing the open top of the container (12). The cover piece (14) has a passage (188) through which the at least one laboratory animal passes during insertion into and extraction from a cavity (28). The closure piece (16) includes a portion (234) that is rotatable relative to the cover piece (14) between a first position in which the portion (234) of the closure piece (16) closes the passage (188) in the cover piece (14) and a second position in which the passage (188) in the cover piece (14) is open to permit the insertion and extraction of the at least one laboratory animal through the passage (188).