A modular drive system for weaving machines, adapted to realise an individual actuation of each mechanism belonging to a set of mechanisms which intervene in the weft insertion cycle and, consequently, in the formation of the fabric, with variable mutual phasing between one actuation and the other, according to the technological weaving needs, and possibility of individual variation of the motion diagram of each servo-mechanism; the drive system (18) comprises a series of control devices, each of which is composed of two parts, of which one operates individually on the assigned drive device, while the second part is integrated inside one common base (19) with the other control devices, regarding the shareable functions of the machine, which can be the system of power supply, communication, management and control, energy recovery or electrical flywheel, and braking for safely stopping the machine, etc.