A machining condition setter (42) in a wire electrical discharge machine (10), sets up: as machining conditions, a first machining condition for enabling the core fixing function in a first section (IN1) on the upstream side; a second machining condition for enabling formation of a slot (58, 59) in the workpiece (W) in a second section (IN2) on the downstream side; and a medial machining condition that is different from the first machining condition and the second machining condition in a medial section (INm) located between the first section (IN1) and the second section (IN2).
