A control device for a continuously variable transmission (4) equipped with a variator (20) and an auxiliary transmission mechanism (30) having a first gear range (32) and a second gear range (33) as forward travel gear ranges. This control device is equipped with: a coordinated shifting means (12a) which, when the gear range of the auxiliary transmission mechanism (30) is changed, performs a coordinated shifting whereby the shifting speed of the auxiliary transmission mechanism (30) is matched to the shifting speed of the variator (20), and the variator (20) is shifted in the direction which is the reverse of the shifting direction of the auxiliary transmission mechanism (30) as the auxiliary transmission mechanism (30) is being shifted; and a torque control means (12b), which executes a torque-limiting control whereby the torque of the drive source (1) is reduced and then is increased during coordinated shifting in upshifting. This torque-limiting control is executed with a timing which accelerates the time at which the drop in driving force due to the coordinated shifting begins, and with a timing which delays the time at which the drop in driving force ends.