The invention discloses a purlin hanger structure of a curved roof. The purlin hanger structure comprises a copper sleeve welded to a steel structure, and the copper sleeve is connected with a purlin hanger in an adjustable mode. A support plate is fixed to the top of the purlin hanger, four second oblong holes are uniformly formed in the periphery of the support plate, and second bolts penetrate through the second oblong holes and are fixed with pieces of angle iron. The pieces of angle iron are provided with vertical oblong holes for fixing a fixed supporting rod and transverse oblong holes matched with the second oblong holes. The fixed supporting rod is fixedly clamped between the two pieces of angle iron. Clamping pieces are fixed on the two sides of the fixed supporting rod correspondingly. Third bolts penetrate through the vertical oblong holes in the two pieces of angle iron for clamping the fixed supporting rod and are connected with nuts to fix the fixed supporting rod. According to the special purlin hanger structure, stereo adjustment of a purlin hanger fixed point is realized, through the improvement of an interior supporting structure of the fixed supporting rod, mounting of the supporting structure is facilitated, and the deformation resistance capacity of the fixed supporting rod is improved.