A sole acupoint pressure massage apparatus includes a base. The base has therein a mechanism lower cover engaged therewith. The mechanism lower cover has therein a first power device and a second power device. A mechanism upper cover is disposed on the mechanism lower cover. A wavy wheel is pivotally disposed on the mechanism upper cover. A needle disk is disposed on the wavy wheel. An upper cover is disposed above the needle disk and coupled to the base. Needles are disposed on the needle disk. A first power device drives the wavy wheel to rotate. The wavy surface of the wavy wheel presses against the needles to massage sole acupoints. The second power device lifts the mechanism upper cover and drives the wavy wheel and the needles, thereby causing the needles to perform pressure massage on the sole.