A plasma etching apparatus includes a first RF power supply unit configured to apply a first RF power for plasma generation to a first electrode or a second electrode disposed opposite to each other in a process container configured to be vacuum-exhausted, a second RF power supply unit configured to apply a second RF power for ion attraction to the second electrode, and a controller configured to control the second RF power supply unit. The second RF power supply unit includes a second RF power supply and a second matching unit. The controller is preset to control the second RF power supply unit to operate in a power modulation mode that executes power modulation in predetermined cycles between a first power and a second power, while controlling the second matching unit to switch a matching operation in synchronism with the power modulation.