The invention relates to a degradable polyester fiber and a preparation method thereof. The preparation method is as follows: a modified polyester FDY filament is prepared from a modified polyester melt according to an FDY process, and a degradable polyester fiber is obtained; the modified polyester The molecular chain of the ester includes a terephthalic acid segment, an ethylene glycol segment, a 2,5,6,6-tetramethyl-2,5-heptanediol segment and a fluorine-containing dibasic acid segment; The dibasic acid is 2,2-difluoro-1,3-malonic acid, 2,2-difluoro-1,4-succinic acid, 2,2-difluoro-1,5-glutaric acid or 2 ,2,3,3‑tetrafluoro‑1,4‑succinic acid; doped modified ZrO dispersed in modified polyester 2 Powder. After the prepared product is placed for 60 months under the condition of 25°C and 65% relative humidity, its intrinsic viscosity decreases by 23-28%. The preparation method of the invention has low cost and simple process; the obtained product has a fast natural degradation rate and has great application prospects.