The invention discloses poly(ethylene 2,5-furandicarboxylate) with low diethylene glycol link content and a preparation method of poly(ethylene 2,5-furandicarboxylate). The content of 2,5-furandicarboxylic acid diethylene glycol ester links, short for diethylene glycol links, of poly(ethylene 2,5-furandicarboxylate) is lower than 3 mol%, and poly(ethylene 2,5-furandicarboxylate) is prepared from 2,5-furandicarboxylic acid or ester of 2,5-furandicarboxylic acid and ethylene glycol through an esterification-melt phase polycondensation process or ester exchange-melt phase polycondensation process under the action of a high-efficiency and high-selectivity binary catalyst. According to poly(ethylene 2,5-furandicarboxylate) with the low diethylene glycol link content, poly(ethylene 2,5-furandicarboxylate) has excellent crystallinity due to the low diethylene glycol link content, thereby having better heat resistance and mechanical properties. The preparation method is simple in process, the catalyst has high activity and good selectivity, and poly(ethylene 2,5-furandicarboxylate) with the low diethylene glycol link content can be prepared; an organic solvent is not needed, the process is environment-friendly, and accordingly, realization of industrialization is facilitated.