The invention discloses finger movement function rehabilitation apparatus driven by shape memory alloy wires, and belongs to the field of finger rehabilitation. The apparatus is composed of the shapememory alloy wires, ropes, an alloy wire connecting terminal, an inner-layer fabric, an outer-layer fabric, range extending mechanism supports, rings, and other parts. When the shape memory alloy wires are powered on, the temperature rises under the current heat effect to generate phase changes, the contraction is generated, then the ropes are pulled, and fingers are driven to bend and stretch. The fabrics on the inner layer and the outer layer have good elasticity, and the tightness degree of the whole fabric can be adjusted in cooperation with Velcro on an arm. In addition, a proper amount of silica gel is placed between each layer of fabric to improve the wearing comfort of the apparatus. A length of the alloy wires extending out of the connecting terminal at the tail end is adjusted toadapt to different finger lengths, so that the requirement of ergonomics is better met. The three Velcro are located on the wrist, the forearm close to the elbow, and the big arm close to the elbow respectively. The three Velcro can enable the rehabilitation apparatus to be better attached to the shape of the arm of the human body, so that range extending mechanisms more efficiently use the phasechange contraction of the SMA wires to drive the fingers to bend and stretch, and thereby the better rehabilitation effect is achieved.