A control device for a vehicular power transmitting apparatus, having engaging devices including a one-way clutch, is disclosed which prevents a locked state of the one-way clutch from causing the occurrence of slippages of other engaging devices to avoid a drop in durability of the engaging device. To achieve this object, engaging a plurality of engaging devices in combined operations allows a plurality of gear positions to be established. A shifting mechanism (vehicular power transmitting apparatus) 10 is provided wherein at least one of the plural engaging devices includes a one-way clutchF1. The shifting mechanism switches a method of selecting a gear position at S3 depending on a shift position of a shift lever 52, determined at S1, and a vehicle running direction determined at S2.