A fluid supply apparatus includes a container supply holder configured to supply a container to a cap separator using a loading box, the container including a detachable nozzle cap, and configured to store a process fluid, a cap separator configured to receive the container from the loading box and separate the nozzle cap from a container body of the container using a cap clamper and a rotation actuator, the cap clamper configured to clamp and hold the nozzle cap, and the rotation actuator configured to rotate the container body, a fluid supplier configured to supply the process fluid contained in the container body through a fluid supply line, and a controller configured to control the container supply holder, the cap separator, and the fluid supplier.