A shift control method for a vehicle with a Dual Clutch Transmission (DCT) may include determining whether power-on up-shifting has been initiated, performing torque handover control by controlling release-side and engage-side clutches by repeatedly calculating control torques of the release-side clutch and the engage-side clutch over time, when the power-on up-shifting is started and a torque handover period is entered, determining whether tip-out is generated during the performing of torque handover control, obtaining a remaining updating time by recalculating a remaining time until the end of the torque handover period in accordance with a decrease in engine torque, when it is determined that tip-out has been generated, and controlling the release-side and the engage-side clutches on the basis of the control torques for the release-side and the engage-side clutches that are made different in accordance with the calculated remaining updating time during a remaining torque handover period.