A shift control method for a vehicle with a Dual Clutch Transmission (DCT) includes comparing, by a controller, a current clutch temperature with a first predetermined reference value and a second predetermined reference value, the second predetermined reference value being greater than the first reference value, preventing, by the controller, coaxial power-on downshifting when the clutch temperature is greater than the first reference value, and reducing, by the controller, a shift time by preventing coaxial power-on downshifting when the clutch temperature is greater than the second reference value and then increasing a shift speed when biaxial full skip shifting is required.