The invention relates to a polyester fiber FDY (Fully Drawn Yarn) with high dyeing rate and a preparation method thereof. The polyester fiber FDY with high dyeing rate is prepared from modified polyester, the modified polyester is composed of polyester and aminoadipic acid gylcol ester, the aminoadipic acid gylcol ester is dispersed among molecular chains of the polyester, hydrogen-bond interaction exists between the aminoadipic acid gylcol ester and the molecular chains of the polyester, and the relative position of the aminoadipic acid gylcol ester and the molecular chains of the polyester is fixed; the free volume space among the molecular chains inside the fiber is increased by 20-30v / v% when the polyester fiber FDY with high dyeing rate is at 90-130 DEG C, the dying rate of the polyester fiber FDY with high dyeing rate is higher than that of the common fiber when the polyester fiber FDY with high dyeing rate adopts the same dyes such as disperse red 3B, disperse blue SE-2R, disperse bright blue S-GL and the like, less surface dyeing is formed after dyeing, and the polyester fiber FDY with high dyeing rate can be used for garment materials, bedding article decoration and the like.