A syringe actuating device has a first supporting plate in which an axial guide for a primary rod is defined and a second supporting plate defining at least two engagement seats for bases of corresponding syringes having a barrel and sliding plunger. A guide for axial sliding of a corresponding secondary rod with a head is associated with each of the engagement seats. The device also includes an electric motor having a driving shaft, an assembly for converting rotary motion of the shaft into translational motion of the primary rod and a pair of connecting arms adapted to transmit sliding motion of the primary rod to a corresponding one of the secondary rods. Rotary movement of the driving shaft causes sliding of the secondary rods and, consequently, sliding of the plungers when the syringes are engaged in corresponding engagement seats and the plungers are in abutment against the heads.