An intake control device of an internal combustion engine in which an intake path of each cylinder is partitioned into an upper and a lower path and a tumble control valve and an intake pressure control valve are provided to open/close the upper path and lower path respectively. In a given driving condition, the intake air flow velocity in the lower path is increased by closing the tumble control valve, thereby generating a tumble flow in the combustion chamber. In this process, the intake pressure control valve is opened around start of an intake stroke and closed around its end to make intake pressure downstream of the intake pressure control valve higher than upstream of it to increase the difference between upstream and downstream intake pressures in the intake stroke. This increases the intake air flow velocity in the lower path and intensifies the tumble flow in the combustion chamber.