An intake manifold with a swirl system for an internal combustion engine provided with a number of cylinders; the intake manifold has, for each cylinder, an intake pipe, which is adapted to connect the intake manifold to the cylinder and has, in turn, two reciprocally parallel channels; the swirl system is provided with: for each intake pipe, a choking valve, which is arranged inside a channel of the intake pipe and is adapted to vary the air introduction section through the channel; and a single actuator device, which simultaneously and synchronically displaces all the choking valves and is provided with a motor and a mechanical transmission system which transmits the motion from the motor to all the choking valves.