The present invention relates to an injection device comprising: —a first support (14) having a cup-shaped first contact surface (18) intented to come into contact with a first region of an outside surface of an eye, —a set of at least four injection needles (17) in fluid communication with each other and protruding from said first contact surface (18) at respective insertion points (22) so that the distance between the distal end (26) of any of said injection needles to said first contact surface is between 0.6 mm and 1.3 mm, the insertion points of the injection needles on the first contact surface being spread on said first contact surface so that the diameter (D′) of the largest circle (C′) that it is possible to include completely in the convex surface (E) defined by said insertion points on a front view of said first contact surface, without any insertion point being included in said circle, is less than 8 mm.
