A valve timing control apparatus for an engine, comprising: a drive rotational member synchronously rotated with a crankshaft; a driven rotational member provided coaxially with the drive rotational member and rotated with a camshaft; a fluid pressure chamber provided in one of the drive rotational member and the driven rotational member; a vane dividing the fluid pressure chamber into an advanced angle chamber and a retarded angle chamber; a relative rotational phase-controlling mechanism (7, 70, 75, 76, 11, 10, 9, 90a, 90b, 90c, 90d, 90e) for supplying or discharging a working fluid to or from one or both of the advanced angle chamber and the retarded angle chamber, for changing a relative position of the vane to the fluid pressure chamber, and for controlling a relative rotational phase between the drive rotational member and the driven rotational member within a range from a most retarded angle phase at which a volume of the retarded angle chamber becomes maximum to a most advanced angle phase at which a volume of the advanced angle chamber becomes maximum, wherein, when cranking is performed, the relative rotational phase-controlling mechanism (7, 70, 75, 76, 11, 10, 9, 90a, 90b, 90c, 90d, 90e) performs a drain operation to allow working fluid in the advanced angle chamber and the retarded angle chamber to be discharged; a locking mechanism (6, 60, 6A, 6B, 61, 62) for restraining the relative rotational phase at an intermediate phase between the most advanced angle phase and the most retarded angle phase; and a biasing mechanism for applying a torque to the drive rotational member relative to the driven rotational member so that the relative rotational phase advances toward the most advanced angle phase, characterized in that a larger one of a first torque and a second torque is selected as a minimum set torque for the biasing mechanism, wherein the first torque is a minimum torque required for changing the relative rotational phase from the most retarded angle phase to the intermediate phase in a case where the working fluid has been discharged from both of the advanced angle chamber and the retarded angle chamber and cranking is performed at a first temperature before warming up of the engine, and the second torque is a minimum torque required for changing the relative rotational phase from the most retarded angle phase to the intermediate phase in a case where working fluid remains in the advanced angle chamber and the retarded angle chamber and cranking is performed at a second temperature which is a minimum temperature at which the relative rotational phase is controlled by the relative rotational phase-controlling mechanism. a drive rotational member synchronously rotated with a crankshaft; a driven rotational member provided coaxially with the drive rotational member and rotated with a camshaft; a fluid pressure chamber provided in one of the drive rotational member and the driven rotational member; a vane dividing the fluid pressure chamber into an advanced angle chamber and a retarded angle chamber; a relative rotational phase-controlling mechanism (7, 70, 75, 76, 11, 10, 9, 90a, 90b, 90c, 90d, 90e) for supplying or discharging a working fluid to or from one or both of the advanced angle chamber and the retarded angle chamber, for changing a relative position of the vane to the fluid pressure chamber, and for controlling a relative rotational phase between the drive rotational member and the driven rotational member within a range from a most retarded angle phase at which a volume of the retarded angle chamber becomes maximum to a most advanced angle phase at which a volume of the advanced angle chamber becomes maximum, wherein, when cranking is performed, the relative rotational phase-controlling mechanism (7, 70, 75, 76, 11, 10, 9, 90a, 90b, 90c, 90d, 90e) performs a drain operation to allow working fluid in the advanced angle chamber and the retarded angle chamber to be discharged; a locking mechanism (6, 60, 6A, 6B, 61, 62) for restraining the relative rotational phase at an intermediate phase between the most advanced angle phase and the most retarded angle phase; and a biasing mechanism for applying a torque to the drive rotational member relative to the driven rotational member so that the relative rotational phase advances toward the most advanced angle phase,