A multi-link engine has a piston coupled to a crankshaft to move inside an engine cylinder. A piston pin connects the piston to an upper link, which is connected to a lower link by an upper link pin. A crank pin of the crankshaft rotatably supports the lower link thereon. A control link pin connects the lower link to one end of a control link, which is connected at another end to the engine block body by a control shaft. The crank pin has a center arranged on a straight line joining centers of the upper link pin and the control link pin such that an angle formed between the straight line and a horizontal axis that is perpendicular to a center axis of the cylinder and that passes through an axial center of a crank journal is the same for at top dead center and at bottom dead center.