The invention relates to a method for continuously producing copolyamides with melting points greater than approximately 265.degree. C. According to the invention, in a continuous process, partially aromatic and partially crystalline polyamides of the following chemical systems with defined molar percentages of the individual components are produced during the synthesis of polymers: 30 to 50 mol % of aromatic dicarboxylic acids, which are derived from terephthalic acid; 30 to 50 mol % of aliphatic diamines, which are derived from hexamethylenediamine or of cycloaliphatic diamines having at least 6 C atoms, and; 0.5-25 mol % of aromatic diamines or cyclic diamines with at least 6 C atoms. The sum of all polymer-forming components add up to a composition of 100 mol %, and a stoichiometric ratio between amines and carboxylic acids exists.