An excavating pump apparatus and a pile installation apparatus having the same are disclosed. An excavating pump apparatus in accordance with an embodiment of the present invention may include: an excavation head being inserted into an inner space of a pile through an open hole opening the inner space of the pile and being configured to crush seafloor sediments and allow the crushed seafloor sediments to be flowed therein; an outlet conduit connected to the excavation head and being a channel for discharging the seafloor sediments flowed into the excavation head to an outside of the pile; and a pump configured to move the seafloor sediments through the outlet conduit by providing a pump pressure to the outlet conduit