Disclosed is a gripping device for a container intended for a biological analysis, including an annular part of X axis, elastically deformable gripping fins extending radially inwardly from the annular part, the fins being capable of being deformed when a container is introduced into the annular part, the fins being evenly distributed over the circumference. Each fin has a so-called upper surface and an opposite so-called lower surface, the lower surface being intended to come into contact with the container, the lower surface having a concave zone, or vice versa.