A turbo pump acts on a liquid, and an apparatus and a method suppresses or alleviates a cavitation surge which is a unique phenomenon occurring in a turbo pump for a liquid. A method of operating a turbo pump while suppressing cavitation, includes: measuring a flow rate upstream of the turbo pump and a flow rate downstream of the turbo pump for delivering a liquid and comparing the flow rates with each other; if the upstream flow rate is lower than the downstream flow rate, reducing a pressure in a pump suction section to increase an upstream flow velocity while reducing a pressure in a pump discharge section to lower a downstream flow velocity; and if the downstream flow rate is lower than the upstream flow rate, increasing the pressure in the pump discharge section to increase the downstream flow velocity while increasing the pressure in the pump suction section.