A wire electrical discharge machining method for use in a wire electrical discharge machine that performs electrical discharge machining on a workpiece along a machining path by generating electric discharge between a wire electrode and the workpiece while moving the wire electrode and the workpiece relatively to each other, and has a core fixing function of fixing a core (Pc) created by the electrical discharge machining to a base material (Wb) of the workpiece by adhering and depositing a component of the wire electrode arising from the electric discharge machining, comprising: a setting step of setting a machining condition related to the electrical discharge machining for each of multiple sections on the machining path; and, a control step of performing control of the electrical discharge machining in accordance with the machining condition set for each section at the setting step, wherein the machining conditions set at the setting step include: a first machining condition for effecting the core fixing function in a first section; and a second machining condition for enabling formation of a slot (58, 59) in the workpiece in a second section downstream of the first section; characterized in that the machining conditions set at the setting step further include: 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 and the second section, wherein the medial machining condition is set with the electrical discharge machining suppressed, by lowering an average amount of discharge energy between the wire electrode and the workpiece, in comparison with the first machining condition or the second machining condition. a setting step of setting a machining condition related to the electrical discharge machining for each of multiple sections on the machining path; and, a control step of performing control of the electrical discharge machining in accordance with the machining condition set for each section at the setting step, wherein the machining conditions set at the setting step include: a first machining condition for effecting the core fixing function in a first section; and a second machining condition for enabling formation of a slot (58, 59) in the workpiece in a second section downstream of the first section; characterized in that the machining conditions set at the setting step further include: 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 and the second section, wherein the medial machining condition is set with the electrical discharge machining suppressed, by lowering an average amount of discharge energy between the wire electrode and the workpiece, in comparison with the first machining condition or the second machining condition. a first machining condition for effecting the core fixing function in a first section; and a second machining condition for enabling formation of a slot (58, 59) in the workpiece in a second section downstream of the first section; characterized in that the machining conditions set at the setting step further include: 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 and the second section, wherein the medial machining condition is set with the electrical discharge machining suppressed, by lowering an average amount of discharge energy between the wire electrode and the workpiece, in comparison with the first machining condition or the second machining condition.