A control device for a vehicle, wherein - the control device is configured to control the vehicle including a driving source and an automatic transmission coupled to the driving source, the automatic transmission including a power transmission mechanism including a forward engaging element, - the control device comprises: - a first control unit configured to execute a driving-source-stop-while-traveling control when a driving-source-stop-while-traveling condition for stopping the driving source while traveling is satisfied, the driving-source-stop-while-traveling control stopping the driving source and bringing the automatic transmission into a neutral state; and - a second control unit configured to engage the forward engaging element when input and output rotation speeds of the power transmission mechanism are synchronized after a driving-source-stop-while-traveling cancellation condition is satisfied; characterized by a third control unit which is configured (i) to execute a feedback control, with the feedback control feeding back an actual pressure supplied to the forward engaging element to set a command pressure of the forward engaging element and fully engaging the forward engaging element, when an actual pressure of a piston pressure receiving chamber of the forward engaging element is detected to be equal to or more than a predetermined value, and (ii) to inhibit the execution of the feedback control when the driving-source-stop-while-traveling cancellation condition is satisfied. - the control device is configured to control the vehicle including a driving source and an automatic transmission coupled to the driving source, the automatic transmission including a power transmission mechanism including a forward engaging element, - the control device comprises: - a first control unit configured to execute a driving-source-stop-while-traveling control when a driving-source-stop-while-traveling condition for stopping the driving source while traveling is satisfied, the driving-source-stop-while-traveling control stopping the driving source and bringing the automatic transmission into a neutral state; and - a second control unit configured to engage the forward engaging element when input and output rotation speeds of the power transmission mechanism are synchronized after a driving-source-stop-while-traveling cancellation condition is satisfied; - a first control unit configured to execute a driving-source-stop-while-traveling control when a driving-source-stop-while-traveling condition for stopping the driving source while traveling is satisfied, the driving-source-stop-while-traveling control stopping the driving source and bringing the automatic transmission into a neutral state; and - a second control unit configured to engage the forward engaging element when input and output rotation speeds of the power transmission mechanism are synchronized after a driving-source-stop-while-traveling cancellation condition is satisfied; (i) to execute a feedback control, with the feedback control feeding back an actual pressure supplied to the forward engaging element to set a command pressure of the forward engaging element and fully engaging the forward engaging element, when an actual pressure of a piston pressure receiving chamber of the forward engaging element is detected to be equal to or more than a predetermined value, and feeding back an actual pressure supplied to the forward engaging element to set a command pressure of the forward engaging element and fully engaging the forward engaging element, when an actual pressure of a piston pressure receiving chamber of the forward engaging element is detected to be equal to or more than a predetermined value, and (ii) to inhibit the execution of the feedback control when the driving-source-stop-while-traveling cancellation condition is satisfied.