the present invention provides a multi - needle sewing machine capable of preventing twisting associated with the oversupply state of a second thread element owing to abrupt lowering of a thread take - up arm even when the vertical reciprocation speeds of the needle bar and the thread take - up arm are increased to raise the efficiency of sewing . in the thread passage of a machine unit , at least on the depth side of the position of the through hole of the thread take - up arm located at the bottom dead center , a recess is formed so that the second thread element 43 a that is pulled using the through hole of the thread take - up arm , is lowered abruptly and is in an oversupply state can be deflected therein , a beaten thread receiving face 53 a is provided therein , and jump preventing faces 54 a are provided on both sides of the receiving face to make the beaten portion 43 a of the second thread element come into contact therewith and to prevent the second thread element from jumping .