The invention discloses an electrostatic spinning continuous production method for sodium alginate nano fibers. On the basis of the prior art, sodium alginate is subjected to chemical crosslinking with glutaraldehyde as a chemical crosslinker; and the crosslinked sodium alginate gel is dried in a manner of combination of liquid nitrogen quick freezing and freeze drying, thereby controlling the direction of a reversible reaction and enhancing crosslinking effects furthermore, and further solving a series of problems of low crosslinking degree of molecular chain, instability, poor spinnability, and poor uniformity of internal micron structures in the spin-molded fibers in the prior art; what is more, viscosity of a spinning liquid, which is an important spinnability index, is controlled to be within a narrow ideal range, thus ensuring continuity of the production process. The method is continuous and stable in process, is simple in process control, can ensure uniform thickness of fibers, and can ensure product quality and good stability.