The invention discloses an orthotropic rotary sealing structure. The sealing structure is a rotary sealing stator part which is installed on a rotating component in a sleeving manner; the inner surface of the rotary stator part is provided with structures such as sealing chambers, pressure stabilizing chambers, sealing teeth, peripheral baffles and tooth crest grooves; the sealing chambers may bea mazy annular structure, a circular hole type structure and a bag type structure; each pressure stabilizing chamber is a peripheral through annular chamber which has relatively large chamber depth; the sealing chambers are different in chamfer depth in different orthogonal directions; the mazy annular sealing chambers and the circular hole type sealing chambers correspondingly have the maximum chamber depth and the minimum chamber depth in the X orthogonal direction and the Y orthogonal direction; the value of the chamber depth continuously changes in the circumferential direction according to an elliptic trajectory; the bag type sealing chambers are different in chamber depth and have different tooth crest groove structures in the X orthogonal direction and the Y orthogonal direction soas to form orthotropic direct-through type, convergent type and divergent type sealing clearance ratios. The orthotropic rotary sealing structure disclosed by the invention can generate an orthotropicsealing power characteristic coefficient, especially an orthotropic rigidity coefficient, and improves the stability of a shaft system.