Abstract: The apparatus comprises a container feed device feeding containers one-by-one to a filling station in which station the filling opening of the container is contained in a vertical plane. An artificial insemination straw feed device feeds straws one-by-one to the filling station in a horizontal position in which the straw is perpendicular to said plane and disposed in front of the opening in a space adjacent to said plane and on the side of said plane opposed to the container. A charging device shifts the straws one-by-one longitudinally of the straw to a position inside the container at the filling station. The apparatus is particularly advantageous for grouping straws in containers in the form of test-tubes inside a cryogenic vessel.