A thermoplastic polyester includes: at least one tetrahydrofuran-dimethanol diol motif (A); and at least one aromatic acid motif (B) selected from terephthalic acid, isophthalic acid, phthalic acid, 2,6-naphthalene dicarboxylic acid and 1,4-naphthalene dicarboxylic acid, the glass transition temperature thereof being higher than, or equal to, 50° C. A method for producing polyester including the motifs (A) and (B) is also described.