A vessel cannulation device comprises a cannula (E), a needle (F), a fluid connection (L), a surrounding body (P) and a clamp (G), interconnected with each other by means of a main body (C) of the device (Z). The needle is slidably received in the cannula. The fluid connection is arranged for providing fluid communication between the cannula and a tube (B). In its puncturing position the needle is preventing fluid communication between the cannula and said tube. In its retracted position the needle is allowing said fluid communication. The surrounding body is partially surrounding the cannula in circumferential direction relative to the cannula with an inter-space (I) between the surrounding body and the cannula. The surrounding body has an interruption (R) in its surrounding the cannula. The clamp is arranged for squeezingly clamping the vessel and thereby closing off the vessel.