The invention discloses a shape memory alloy micro valve based on acoustic surface waves and a control method of the shape memory alloy micro valve. The shape memory alloy micro valve comprises a PCB, an acoustic surface wave excitation device, a PDMS coagulating body with a micro-channel and a shape memory alloy line formed by a first crooked section at the indoor temperature and a second straight section at the indoor temperature; the acoustic surface wave excitation device and the PDMS coagulating body are installed on the PCB, a groove is formed in the PDMS coagulating body, and the other end of the shape memory alloy line is connected with the PCB; the section, stretching across a propagation path of the acoustic surface waves excited by the acoustic surface wave excitation device and located on the propagation path, of the shape memory alloy line is covered with paroline micro liquid on the propagation path; and the second section of the shape memory alloy line is sleeved with a guide pipe connected with the PCB, and a plastic sheet is connected to the other end of the second section of the shape memory alloy line and extrudes a part, located between the groove and the micro-channel, of the PDMS coagulating body and the under pushing force to deform so as to block the micro-channel. The shape memory alloy micro valve has the beneficial effects of being simple in structure, small in size and easy to integrate.