[Problem] To provide a support member attachment unit, which can detachably attach a medical pump whether the support member is disposed in the vertical direction or the support member is disposed in a horizontal direction of the patients bed, and a medical pump provided with said attachment unit. [Solution] A support member attachment unit (500), which is mounted on a medical pump (1) and is for detachably attaching the medical pump (1) to a support member. The unit comprises: a base (501), which can be mounted on the medical pump in either a first mounting orientation (RS1) or a second mounting orientation (RS2) that differs from the first mounting orientation (RS1) and a fixing part (590) that is loaded on the base (501) and with the base (501) in the first mounting orientation, is capable of being fixed to the support member (900), which is disposed along a first direction (z-direction), and with the base (501) in the second mounting orientation (RS2), is capable of being fixed to the support member (900), which is disposed along a second direction (x-direction) that differs from the first direction.La présente invention concerne une unité de fixation dun élément de support permettant de fixer de façon amovible une pompe médicale, que lélément de support soit disposé dans le sens vertical ou dans le sens horizontal par rapport au lit du patient, ainsi quune pompe médicale équipée de ladite unité de fixation. Linvention concerne, donc, une unité de fixation dun élément de support (500), qui est montée sur une pompe médicale (1) et qui permet de fixer de façon amovible ladite pompe médicale (1) sur un élément de support. Ladite unité comprend un socle (501), qui peut être monté sur la pompe médicale soit selon une première orientation de montage (RS1) soit selon une seconde orientation de montage (RS2) qui diffère de ladite première orientation de montage (RS1) et une pièce de fixation (590) située sur le socle (501) et qui, lorsque le socle (501) est monté selon