The invention discloses elastin-like polypeptides (ELP) for prokaryotic expression of fusion protein Prx by a non-digestion and non-chromatography purifying method and belongs to the field of genetic engineering. According to the elastin-like polypeptides, the type of the fourth amino acid in an elastin-like pentapeptide unit is changed and the elasticity function of the fourth amino acid is improved, and therefore, the reduction of the ELP length becomes possible. The ratio of K, V and F in the fourth basic group in the ELP pentapeptide unit is enabled to be 1: 6: 3. In terms of inteins, the high-efficiency intein gp41-1 is adopted; the C-terminal and the N-terminal of the intein are expressed separately, and the internal gene of the intein is mutated. The elastin-like polypeptides (ELPs) are ELP-IN and precursor protein ELP-IC-PrxI. The protein Prx is purified in a non-chromatography way by use of the elasticity function of the elastin-like polypeptides; no chromatographic column is required for separation, and the target protein precipitates by virtue of incubation at a certain temperature; besides, the precipitate can be re-dissolved in a buffer solution, and consequently, the protein can be purified more efficiently and quickly.