In a steam system having a turbine driven by steam supplied from a high-pressure header to a low-pressure header, when the pressure in the low-pressure header drops, a turbine bypass valve is opened and the high-pressure side steam is supplied to the low-pressure side header in a normal control. When the turbine is tripped, steam is rapidly flow into the low-pressure side header and its pressure temporally increases. the steam in the low-pressure header is discharged through a discharge valve. After that, if a steam supply from the low-pressure header to another process increases, the discharge valve is closed. After the discharge valve is fully closed, an after-trip control is performed in which the opening of the turbine bypass valve is increased at an earlier timing than the normal control for preventing the steam amount in the low-pressure header to be too small. The control stability of the steam system when the turbine is tripped can be enhanced.