The present invention provides a method for producing a liquid-crystalline polyester, which comprises melt-polymerizing monomers in a reactor having a draw outlet to obtain a polymer melt and drawing the polymer melt through the draw outlet, characterized in that the monomers comprise a compound selected from an aromatic hydroxycarboxylic acid and derivatives thereof, a compound selected from an aromatic dicarboxylic acid and derivatives thereof and a compound selected from an aromatic diol, an aromatic hydroxyamine, an aromatic diamine and derivatives thereof; the amount of units derived from a compound containing a 1,2-phenylene and/or a 1,3-phenylene skeleton(s) in the polyester is from 0 to 10 mol %; the melt polymerization is performed in the presence of a heterocyclic compound containing two or more nitrogen atoms; and the polymer melt has a flow initiation temperature of from 220 to 250° C.