The invention provides a multiblock furyl polyether ester shape memory material and a preparation method thereof and belongs to the technical field of macromolecular materials. The material has a structural formula represented by a formula (I) shown in the description. The invention further provides the preparation method of the multiblock furyl polyether ester shape memory material. According tothe method, a petroleum based raw material, i.e., terephthalic acid is replaced with biological monomers, i.e., 2,5-furyl dimethyl diformate, 2,5-furyl di-R1 diformate and 2,5-furyl di-R2 diformate, and the biological shape memory material with double melting points is prepared, so that on one hand, the dependency on petroleum resources is cast off, on the other hand, the obtained material has a good shape memory function, and the shape recovery rate is 80% or more.