The present invention provides a method of manufacturing a silicon steel sheet having grains precisely arranged in the Goss orientation, comprising the steps of preparing a steel material containing 0.01 wt. % or less of C, 2.5 to 7.0 wt. % of Si, 0.01 wt. % or less of S, 0.01 wt. % or less of Al, 0.01 wt. % or less of N, subjecting the steel material to hot rolling maintained 1000.degree. C. or higher such that the temperature of the rolled material at an end of the hot rolling step falls within the range of 700 to 950.degree. C., subjecting the steel material to a primary cold rolling process at a rolling reduction of 30 to 85%, annealing the steel material at a temperature of 600.degree. to 900.degree. C., subjecting the steel material to a secondary cold rolling process at a rolling reduction of 40 to 80%, annealing the steel material again at a temperature of 600.degree.to 900.degree. C., subjecting the steel material to a tertiary cold rolling process at a rolling reduction of 50 to 75%, and annealing the steel material in a reducing atmosphere, or in a non-oxidizing atmosphere having an oxygen partial pressure of 0.5 Pa or less, or in a vacuum having an oxygen partial pressure of 0.5 Pa or less, at a temperature in the range of 1000.degree. to 1300.degree. C.