Abstract: A Slide driving apparatus of press machine, wherein a main gear 3 as a rotational drive member and a lever member 10 as a driven member are opposed to one another in a eccentric state which an axes O.sub.1 and O.sub.2 are separated, the main gear 3 and the lever member 10 being connected to one another by a connecting member 13 consisting of a pin member 11 and a bush member 12. A drive rotation locus A which can be traced, round the axis O.sub.1, by a movement of a connecting center O.sub.5 where the main gear 3 and the connecting member 13 are connected, and a driven rotation locus B which can be traced, round the axis O.sub.2, by a movement of a connecting center O.sub.4 where the lever member 10 and the connecting member 13 are connected, intersect one another at points of C and D. A slide of the press machine is connected, by the connecting rod, to an eccentric portion 8A of the crankshaft 8 where the lever member 10 is fixed.