A hand-held pump apparatus (1) comprises a peristaltic pump head (2) and a container (20) for a liquid to be dispensed. The pump head (2) has a rotatable peristaltic pump member (6) and a flexible dispensing tube (4) in fluid connection with the inside of the container. A finger-actuated trigger (12) is arranged to drive the peristaltic pump member (6) when actuated so as to cause the peristaltic pump member to turn and pump fluid through the dispensing tube(4). The pump head (2) has a thumb hole (8) disposed through it, the thumb hole being disposed within an area around which the peristaltic pump member turns when actuated. This arrangement permits a user&rsquo；s hand to grip the pump head by locating the thumb in the thumb hole and all the user&rsquo；s fingers on the trigger. This has the benefit that no part of a user&rsquo；s finger will be trapped between the trigger and the housing of the pump head.
