A laser machining apparatus includes a height controller that performs an approach operation. The height controller uses a first approach speed and a first gain when performing the approach operation in a non-peripheral-edge portion of the workpiece, and uses a second approach speed lower than the first approach speed and a second gain lower than the first gain when performing the approach operation in a peripheral edge portion of the workpiece, and to make the time required when the approach operation is performed in the non-peripheral-edge portion of the workpiece shorter than the time required when the approach operation is performed in the peripheral edge portion of the workpiece.